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Finding the Fourth Proportional to 538,342.65, 742,965.21 and 402,140.14

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Solution

The fourth proportional to 538,342.65, 742,965.21 and 402,140.14 is: 554,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,342.65 : 742,965.21 = 402,140.14 : x
  2. Step 2: Convert to fraction form
    538,342.65/742,965.21 = 402,140.14/x
  3. Step 3: Cross multiply
    538,342.65x = 742,965.21 × 402,140.14
  4. Step 4: Simplify right side
    538,342.65x = 298,776,129,849.70
  5. Step 5: Solve for x
    x = 298,776,129,849.70/538,342.65
  6. Step 6: Final answer
    x = 554,992.49

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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.