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Finding the Fourth Proportional to 284,328,295.80, 426,492,443.70 and 232,672,230.60

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Solution

The fourth proportional to 284,328,295.80, 426,492,443.70 and 232,672,230.60 is: 349,008,345.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    284,328,295.80 : 426,492,443.70 = 232,672,230.60 : x
  2. Step 2: Convert to fraction form
    284,328,295.80/426,492,443.70 = 232,672,230.60/x
  3. Step 3: Cross multiply
    284,328,295.80x = 426,492,443.70 × 232,672,230.60
  4. Step 4: Simplify right side
    284,328,295.80x = 99,232,948,209,723,904
  5. Step 5: Solve for x
    x = 99,232,948,209,723,904/284,328,295.80
  6. Step 6: Final answer
    x = 349,008,345.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.