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Finding the Fourth Proportional to 610,446.38, 842,313.34 and 406,801.32

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Solution

The fourth proportional to 610,446.38, 842,313.34 and 406,801.32 is: 561,317.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,446.38 : 842,313.34 = 406,801.32 : x
  2. Step 2: Convert to fraction form
    610,446.38/842,313.34 = 406,801.32/x
  3. Step 3: Cross multiply
    610,446.38x = 842,313.34 × 406,801.32
  4. Step 4: Simplify right side
    610,446.38x = 342,654,178,565.61
  5. Step 5: Solve for x
    x = 342,654,178,565.61/610,446.38
  6. Step 6: Final answer
    x = 561,317.41

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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.