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Finding the Fourth Proportional to 473,648.16, 710,752.32 and 174,338.88

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Solution

The fourth proportional to 473,648.16, 710,752.32 and 174,338.88 is: 261,611.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,648.16 : 710,752.32 = 174,338.88 : x
  2. Step 2: Convert to fraction form
    473,648.16/710,752.32 = 174,338.88/x
  3. Step 3: Cross multiply
    473,648.16x = 710,752.32 × 174,338.88
  4. Step 4: Simplify right side
    473,648.16x = 123,911,763,426.20
  5. Step 5: Solve for x
    x = 123,911,763,426.20/473,648.16
  6. Step 6: Final answer
    x = 261,611.41

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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.