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Finding the Fourth Proportional to 473,593.77, 710,400.38 and 158,053.41

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Solution

The fourth proportional to 473,593.77, 710,400.38 and 158,053.41 is: 237,083.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,593.77 : 710,400.38 = 158,053.41 : x
  2. Step 2: Convert to fraction form
    473,593.77/710,400.38 = 158,053.41/x
  3. Step 3: Cross multiply
    473,593.77x = 710,400.38 × 158,053.41
  4. Step 4: Simplify right side
    473,593.77x = 112,281,201,734.03
  5. Step 5: Solve for x
    x = 112,281,201,734.03/473,593.77
  6. Step 6: Final answer
    x = 237,083.36

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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.