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Finding the Fourth Proportional to 309,427.47, 464,322.14 and 129,497.87

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Solution

The fourth proportional to 309,427.47, 464,322.14 and 129,497.87 is: 194,322.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,427.47 : 464,322.14 = 129,497.87 : x
  2. Step 2: Convert to fraction form
    309,427.47/464,322.14 = 129,497.87/x
  3. Step 3: Cross multiply
    309,427.47x = 464,322.14 × 129,497.87
  4. Step 4: Simplify right side
    309,427.47x = 60,128,726,510.96
  5. Step 5: Solve for x
    x = 60,128,726,510.96/309,427.47
  6. Step 6: Final answer
    x = 194,322.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.