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Finding the Fourth Proportional to 473,807.28, 710,606.54 and 136,774.74

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Solution

The fourth proportional to 473,807.28, 710,606.54 and 136,774.74 is: 205,131.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,807.28 : 710,606.54 = 136,774.74 : x
  2. Step 2: Convert to fraction form
    473,807.28/710,606.54 = 136,774.74/x
  3. Step 3: Cross multiply
    473,807.28x = 710,606.54 × 136,774.74
  4. Step 4: Simplify right side
    473,807.28x = 97,193,024,750.80
  5. Step 5: Solve for x
    x = 97,193,024,750.80/473,807.28
  6. Step 6: Final answer
    x = 205,131.98

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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.