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Finding the Fourth Proportional to 506,726.13, 698,977.38 and 334,645.68

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Solution

The fourth proportional to 506,726.13, 698,977.38 and 334,645.68 is: 461,609.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,726.13 : 698,977.38 = 334,645.68 : x
  2. Step 2: Convert to fraction form
    506,726.13/698,977.38 = 334,645.68/x
  3. Step 3: Cross multiply
    506,726.13x = 698,977.38 × 334,645.68
  4. Step 4: Simplify right side
    506,726.13x = 233,909,760,634.72
  5. Step 5: Solve for x
    x = 233,909,760,634.72/506,726.13
  6. Step 6: Final answer
    x = 461,609.83

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