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Finding the Fourth Proportional to 541,166.40, 812,029.71 and 392,632.65

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Solution

The fourth proportional to 541,166.40, 812,029.71 and 392,632.65 is: 589,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,166.40 : 812,029.71 = 392,632.65 : x
  2. Step 2: Convert to fraction form
    541,166.40/812,029.71 = 392,632.65/x
  3. Step 3: Cross multiply
    541,166.40x = 812,029.71 × 392,632.65
  4. Step 4: Simplify right side
    541,166.40x = 318,829,376,916.03
  5. Step 5: Solve for x
    x = 318,829,376,916.03/541,166.40
  6. Step 6: Final answer
    x = 589,152.20

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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.