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Finding the Fourth Proportional to 390,123.84, 585,331.53 and 153,631.38

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Solution

The fourth proportional to 390,123.84, 585,331.53 and 153,631.38 is: 230,504.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,123.84 : 585,331.53 = 153,631.38 : x
  2. Step 2: Convert to fraction form
    390,123.84/585,331.53 = 153,631.38/x
  3. Step 3: Cross multiply
    390,123.84x = 585,331.53 × 153,631.38
  4. Step 4: Simplify right side
    390,123.84x = 89,925,290,711.41
  5. Step 5: Solve for x
    x = 89,925,290,711.41/390,123.84
  6. Step 6: Final answer
    x = 230,504.47

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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.