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Finding the Fourth Proportional to 616,094.80, 924,229.68 and 189,666.12

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Solution

The fourth proportional to 616,094.80, 924,229.68 and 189,666.12 is: 284,526.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,094.80 : 924,229.68 = 189,666.12 : x
  2. Step 2: Convert to fraction form
    616,094.80/924,229.68 = 189,666.12/x
  3. Step 3: Cross multiply
    616,094.80x = 924,229.68 × 189,666.12
  4. Step 4: Simplify right side
    616,094.80x = 175,295,057,394.44
  5. Step 5: Solve for x
    x = 175,295,057,394.44/616,094.80
  6. Step 6: Final answer
    x = 284,526.11

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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.