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Finding the Fourth Proportional to 516,526.41, 712,802.66 and 290,171.91

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Solution

The fourth proportional to 516,526.41, 712,802.66 and 290,171.91 is: 400,435.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,526.41 : 712,802.66 = 290,171.91 : x
  2. Step 2: Convert to fraction form
    516,526.41/712,802.66 = 290,171.91/x
  3. Step 3: Cross multiply
    516,526.41x = 712,802.66 × 290,171.91
  4. Step 4: Simplify right side
    516,526.41x = 206,835,307,854.42
  5. Step 5: Solve for x
    x = 206,835,307,854.42/516,526.41
  6. Step 6: Final answer
    x = 400,435.11

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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.