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Finding the Fourth Proportional to 473,557.88, 710,617.06 and 174,248.64

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Solution

The fourth proportional to 473,557.88, 710,617.06 and 174,248.64 is: 261,476.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,557.88 : 710,617.06 = 174,248.64 : x
  2. Step 2: Convert to fraction form
    473,557.88/710,617.06 = 174,248.64/x
  3. Step 3: Cross multiply
    473,557.88x = 710,617.06 × 174,248.64
  4. Step 4: Simplify right side
    473,557.88x = 123,824,056,265.80
  5. Step 5: Solve for x
    x = 123,824,056,265.80/473,557.88
  6. Step 6: Final answer
    x = 261,476.08

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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.