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Finding the Fourth Proportional to 463,648.80, 695,473.20 and 402,823.20

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Solution

The fourth proportional to 463,648.80, 695,473.20 and 402,823.20 is: 604,234.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,648.80 : 695,473.20 = 402,823.20 : x
  2. Step 2: Convert to fraction form
    463,648.80/695,473.20 = 402,823.20/x
  3. Step 3: Cross multiply
    463,648.80x = 695,473.20 × 402,823.20
  4. Step 4: Simplify right side
    463,648.80x = 280,152,739,938.24
  5. Step 5: Solve for x
    x = 280,152,739,938.24/463,648.80
  6. Step 6: Final answer
    x = 604,234.80

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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.