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Finding the Fourth Proportional to 616,647.60, 924,958.26 and 284,223.60

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Solution

The fourth proportional to 616,647.60, 924,958.26 and 284,223.60 is: 426,329.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,647.60 : 924,958.26 = 284,223.60 : x
  2. Step 2: Convert to fraction form
    616,647.60/924,958.26 = 284,223.60/x
  3. Step 3: Cross multiply
    616,647.60x = 924,958.26 × 284,223.60
  4. Step 4: Simplify right side
    616,647.60x = 262,894,966,506.94
  5. Step 5: Solve for x
    x = 262,894,966,506.94/616,647.60
  6. Step 6: Final answer
    x = 426,329.34

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1.5x scale

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.