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Finding the Fourth Proportional to 617,204.12, 924,965.40 and 377,402

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Solution

The fourth proportional to 617,204.12, 924,965.40 and 377,402 is: 565,588.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    617,204.12 : 924,965.40 = 377,402 : x
  2. Step 2: Convert to fraction form
    617,204.12/924,965.40 = 377,402/x
  3. Step 3: Cross multiply
    617,204.12x = 924,965.40 × 377,402
  4. Step 4: Simplify right side
    617,204.12x = 349,083,791,890.80
  5. Step 5: Solve for x
    x = 349,083,791,890.80/617,204.12
  6. Step 6: Final answer
    x = 565,588.89

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.