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Finding the Fourth Proportional to 616,175.40, 924,263.10 and 217,266.60

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Solution

The fourth proportional to 616,175.40, 924,263.10 and 217,266.60 is: 325,899.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,175.40 : 924,263.10 = 217,266.60 : x
  2. Step 2: Convert to fraction form
    616,175.40/924,263.10 = 217,266.60/x
  3. Step 3: Cross multiply
    616,175.40x = 924,263.10 × 217,266.60
  4. Step 4: Simplify right side
    616,175.40x = 200,811,501,242.46
  5. Step 5: Solve for x
    x = 200,811,501,242.46/616,175.40
  6. Step 6: Final answer
    x = 325,899.90

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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.