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Finding the Fourth Proportional to 473,649.16, 710,753.82 and 174,339.88

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Solution

The fourth proportional to 473,649.16, 710,753.82 and 174,339.88 is: 261,612.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,649.16 : 710,753.82 = 174,339.88 : x
  2. Step 2: Convert to fraction form
    473,649.16/710,753.82 = 174,339.88/x
  3. Step 3: Cross multiply
    473,649.16x = 710,753.82 × 174,339.88
  4. Step 4: Simplify right side
    473,649.16x = 123,912,735,688.34
  5. Step 5: Solve for x
    x = 123,912,735,688.34/473,649.16
  6. Step 6: Final answer
    x = 261,612.91

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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.