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Finding the Fourth Proportional to 390,534.70, 585,802.05 and 141,158.38

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Solution

The fourth proportional to 390,534.70, 585,802.05 and 141,158.38 is: 211,737.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,534.70 : 585,802.05 = 141,158.38 : x
  2. Step 2: Convert to fraction form
    390,534.70/585,802.05 = 141,158.38/x
  3. Step 3: Cross multiply
    390,534.70x = 585,802.05 × 141,158.38
  4. Step 4: Simplify right side
    390,534.70x = 82,690,868,378.68
  5. Step 5: Solve for x
    x = 82,690,868,378.68/390,534.70
  6. Step 6: Final answer
    x = 211,737.57

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Why These Related Problems?

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