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Finding the Fourth Proportional to 469,030.38, 703,538.10 and 149,177.64

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Solution

The fourth proportional to 469,030.38, 703,538.10 and 149,177.64 is: 223,764.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,030.38 : 703,538.10 = 149,177.64 : x
  2. Step 2: Convert to fraction form
    469,030.38/703,538.10 = 149,177.64/x
  3. Step 3: Cross multiply
    469,030.38x = 703,538.10 × 149,177.64
  4. Step 4: Simplify right side
    469,030.38x = 104,952,153,408.08
  5. Step 5: Solve for x
    x = 104,952,153,408.08/469,030.38
  6. Step 6: Final answer
    x = 223,764.08

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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.