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Finding the Fourth Proportional to 473,490.64, 710,242.44 and 264,458.80

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Solution

The fourth proportional to 473,490.64, 710,242.44 and 264,458.80 is: 396,691.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,490.64 : 710,242.44 = 264,458.80 : x
  2. Step 2: Convert to fraction form
    473,490.64/710,242.44 = 264,458.80/x
  3. Step 3: Cross multiply
    473,490.64x = 710,242.44 × 264,458.80
  4. Step 4: Simplify right side
    473,490.64x = 187,829,863,391.47
  5. Step 5: Solve for x
    x = 187,829,863,391.47/473,490.64
  6. Step 6: Final answer
    x = 396,691.82

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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.