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Finding the Fourth Proportional to 475,632.14, 656,354.82 and 260,767.46

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Solution

The fourth proportional to 475,632.14, 656,354.82 and 260,767.46 is: 359,849.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,632.14 : 656,354.82 = 260,767.46 : x
  2. Step 2: Convert to fraction form
    475,632.14/656,354.82 = 260,767.46/x
  3. Step 3: Cross multiply
    475,632.14x = 656,354.82 × 260,767.46
  4. Step 4: Simplify right side
    475,632.14x = 171,155,979,270.16
  5. Step 5: Solve for x
    x = 171,155,979,270.16/475,632.14
  6. Step 6: Final answer
    x = 359,849.48

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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.