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Finding the Fourth Proportional to 617,211.72, 924,865.02 and 416,746.44

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Solution

The fourth proportional to 617,211.72, 924,865.02 and 416,746.44 is: 624,476.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,211.72 : 924,865.02 = 416,746.44 : x
  2. Step 2: Convert to fraction form
    617,211.72/924,865.02 = 416,746.44/x
  3. Step 3: Cross multiply
    617,211.72x = 924,865.02 × 416,746.44
  4. Step 4: Simplify right side
    617,211.72x = 385,434,204,565.53
  5. Step 5: Solve for x
    x = 385,434,204,565.53/617,211.72
  6. Step 6: Final answer
    x = 624,476.48

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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.