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Finding the Fourth Proportional to 616,432.39, 924,740.49 and 189,932.53

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Solution

The fourth proportional to 616,432.39, 924,740.49 and 189,932.53 is: 284,927.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,432.39 : 924,740.49 = 189,932.53 : x
  2. Step 2: Convert to fraction form
    616,432.39/924,740.49 = 189,932.53/x
  3. Step 3: Cross multiply
    616,432.39x = 924,740.49 × 189,932.53
  4. Step 4: Simplify right side
    616,432.39x = 175,638,300,859.14
  5. Step 5: Solve for x
    x = 175,638,300,859.14/616,432.39
  6. Step 6: Final answer
    x = 284,927.11

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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.