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Finding the Fourth Proportional to 473,913.64, 710,915 and 174,399.92

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Solution

The fourth proportional to 473,913.64, 710,915 and 174,399.92 is: 261,616.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,913.64 : 710,915 = 174,399.92 : x
  2. Step 2: Convert to fraction form
    473,913.64/710,915 = 174,399.92/x
  3. Step 3: Cross multiply
    473,913.64x = 710,915 × 174,399.92
  4. Step 4: Simplify right side
    473,913.64x = 123,983,519,126.80
  5. Step 5: Solve for x
    x = 123,983,519,126.80/473,913.64
  6. Step 6: Final answer
    x = 261,616.27

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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.