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Finding the Fourth Proportional to 473,677.80, 710,516.70 and 341,485.80

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Solution

The fourth proportional to 473,677.80, 710,516.70 and 341,485.80 is: 512,228.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,677.80 : 710,516.70 = 341,485.80 : x
  2. Step 2: Convert to fraction form
    473,677.80/710,516.70 = 341,485.80/x
  3. Step 3: Cross multiply
    473,677.80x = 710,516.70 × 341,485.80
  4. Step 4: Simplify right side
    473,677.80x = 242,631,363,712.86
  5. Step 5: Solve for x
    x = 242,631,363,712.86/473,677.80
  6. Step 6: Final answer
    x = 512,228.70

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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.