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Finding the Fourth Proportional to 616,246.80, 924,370.20 and 284,470.80

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Solution

The fourth proportional to 616,246.80, 924,370.20 and 284,470.80 is: 426,706.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,246.80 : 924,370.20 = 284,470.80 : x
  2. Step 2: Convert to fraction form
    616,246.80/924,370.20 = 284,470.80/x
  3. Step 3: Cross multiply
    616,246.80x = 924,370.20 × 284,470.80
  4. Step 4: Simplify right side
    616,246.80x = 262,956,330,290.16
  5. Step 5: Solve for x
    x = 262,956,330,290.16/616,246.80
  6. Step 6: Final answer
    x = 426,706.20

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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.