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Finding the Fourth Proportional to 616,233.80, 924,350.70 and 284,457.80

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Solution

The fourth proportional to 616,233.80, 924,350.70 and 284,457.80 is: 426,686.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,233.80 : 924,350.70 = 284,457.80 : x
  2. Step 2: Convert to fraction form
    616,233.80/924,350.70 = 284,457.80/x
  3. Step 3: Cross multiply
    616,233.80x = 924,350.70 × 284,457.80
  4. Step 4: Simplify right side
    616,233.80x = 262,938,766,550.46
  5. Step 5: Solve for x
    x = 262,938,766,550.46/616,233.80
  6. Step 6: Final answer
    x = 426,686.70

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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.