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Finding the Fourth Proportional to 416,423.27, 624,883.76 and 382,543.91

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Solution

The fourth proportional to 416,423.27, 624,883.76 and 382,543.91 is: 574,044.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,423.27 : 624,883.76 = 382,543.91 : x
  2. Step 2: Convert to fraction form
    416,423.27/624,883.76 = 382,543.91/x
  3. Step 3: Cross multiply
    416,423.27x = 624,883.76 × 382,543.91
  4. Step 4: Simplify right side
    416,423.27x = 239,045,471,808.76
  5. Step 5: Solve for x
    x = 239,045,471,808.76/416,423.27
  6. Step 6: Final answer
    x = 574,044.47

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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.