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Finding the Fourth Proportional to 473,801.64, 710,597.80 and 136,769.04

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Solution

The fourth proportional to 473,801.64, 710,597.80 and 136,769.04 is: 205,123.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,801.64 : 710,597.80 = 136,769.04 : x
  2. Step 2: Convert to fraction form
    473,801.64/710,597.80 = 136,769.04/x
  3. Step 3: Cross multiply
    473,801.64x = 710,597.80 × 136,769.04
  4. Step 4: Simplify right side
    473,801.64x = 97,187,778,932.11
  5. Step 5: Solve for x
    x = 97,187,778,932.11/473,801.64
  6. Step 6: Final answer
    x = 205,123.35

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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.