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Finding the Fourth Proportional to 475,666.12, 656,428.14 and 260,793.28

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Solution

The fourth proportional to 475,666.12, 656,428.14 and 260,793.28 is: 359,899.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,666.12 : 656,428.14 = 260,793.28 : x
  2. Step 2: Convert to fraction form
    475,666.12/656,428.14 = 260,793.28/x
  3. Step 3: Cross multiply
    475,666.12x = 656,428.14 × 260,793.28
  4. Step 4: Simplify right side
    475,666.12x = 171,192,047,714.90
  5. Step 5: Solve for x
    x = 171,192,047,714.90/475,666.12
  6. Step 6: Final answer
    x = 359,899.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.