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Finding the Fourth Proportional to 616,101.60, 923,461.20 and 316,466.40

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Solution

The fourth proportional to 616,101.60, 923,461.20 and 316,466.40 is: 474,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,101.60 : 923,461.20 = 316,466.40 : x
  2. Step 2: Convert to fraction form
    616,101.60/923,461.20 = 316,466.40/x
  3. Step 3: Cross multiply
    616,101.60x = 923,461.20 × 316,466.40
  4. Step 4: Simplify right side
    616,101.60x = 292,244,441,503.68
  5. Step 5: Solve for x
    x = 292,244,441,503.68/616,101.60
  6. Step 6: Final answer
    x = 474,344.56

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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.