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Finding the Fourth Proportional to 473,836.52, 710,649.98 and 136,803.90

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Solution

The fourth proportional to 473,836.52, 710,649.98 and 136,803.90 is: 205,175.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,836.52 : 710,649.98 = 136,803.90 : x
  2. Step 2: Convert to fraction form
    473,836.52/710,649.98 = 136,803.90/x
  3. Step 3: Cross multiply
    473,836.52x = 710,649.98 × 136,803.90
  4. Step 4: Simplify right side
    473,836.52x = 97,219,688,798.92
  5. Step 5: Solve for x
    x = 97,219,688,798.92/473,836.52
  6. Step 6: Final answer
    x = 205,175.59

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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.