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Finding the Fourth Proportional to 385,176.38, 531,541.59 and 215,411.18

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Solution

The fourth proportional to 385,176.38, 531,541.59 and 215,411.18 is: 297,266.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,176.38 : 531,541.59 = 215,411.18 : x
  2. Step 2: Convert to fraction form
    385,176.38/531,541.59 = 215,411.18/x
  3. Step 3: Cross multiply
    385,176.38x = 531,541.59 × 215,411.18
  4. Step 4: Simplify right side
    385,176.38x = 114,500,001,120.98
  5. Step 5: Solve for x
    x = 114,500,001,120.98/385,176.38
  6. Step 6: Final answer
    x = 297,266.41

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.