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Finding the Fourth Proportional to 405,711.18, 608,916.69 and 156,568.14

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Solution

The fourth proportional to 405,711.18, 608,916.69 and 156,568.14 is: 234,987.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,711.18 : 608,916.69 = 156,568.14 : x
  2. Step 2: Convert to fraction form
    405,711.18/608,916.69 = 156,568.14/x
  3. Step 3: Cross multiply
    405,711.18x = 608,916.69 × 156,568.14
  4. Step 4: Simplify right side
    405,711.18x = 95,336,953,568.26
  5. Step 5: Solve for x
    x = 95,336,953,568.26/405,711.18
  6. Step 6: Final answer
    x = 234,987.25

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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.