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Finding the Fourth Proportional to 569,077.38, 853,363.35 and 302,781.78

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Solution

The fourth proportional to 569,077.38, 853,363.35 and 302,781.78 is: 454,038.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    569,077.38 : 853,363.35 = 302,781.78 : x
  2. Step 2: Convert to fraction form
    569,077.38/853,363.35 = 302,781.78/x
  3. Step 3: Cross multiply
    569,077.38x = 853,363.35 × 302,781.78
  4. Step 4: Simplify right side
    569,077.38x = 258,382,874,099.76
  5. Step 5: Solve for x
    x = 258,382,874,099.76/569,077.38
  6. Step 6: Final answer
    x = 454,038.21

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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.