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Finding the Fourth Proportional to 616,568.44, 924,222.02 and 312,399.14

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Solution

The fourth proportional to 616,568.44, 924,222.02 and 312,399.14 is: 468,279.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,568.44 : 924,222.02 = 312,399.14 : x
  2. Step 2: Convert to fraction form
    616,568.44/924,222.02 = 312,399.14/x
  3. Step 3: Cross multiply
    616,568.44x = 924,222.02 × 312,399.14
  4. Step 4: Simplify right side
    616,568.44x = 288,726,164,217.06
  5. Step 5: Solve for x
    x = 288,726,164,217.06/616,568.44
  6. Step 6: Final answer
    x = 468,279.18

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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.