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Finding the Fourth Proportional to 616,648.60, 924,959.76 and 284,224.60

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Solution

The fourth proportional to 616,648.60, 924,959.76 and 284,224.60 is: 426,330.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,648.60 : 924,959.76 = 284,224.60 : x
  2. Step 2: Convert to fraction form
    616,648.60/924,959.76 = 284,224.60/x
  3. Step 3: Cross multiply
    616,648.60x = 924,959.76 × 284,224.60
  4. Step 4: Simplify right side
    616,648.60x = 262,896,317,802.10
  5. Step 5: Solve for x
    x = 262,896,317,802.10/616,648.60
  6. Step 6: Final answer
    x = 426,330.84

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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.