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Finding the Fourth Proportional to 433,332.61, 650,071.53 and 149,011.68

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Solution

The fourth proportional to 433,332.61, 650,071.53 and 149,011.68 is: 223,542.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    433,332.61 : 650,071.53 = 149,011.68 : x
  2. Step 2: Convert to fraction form
    433,332.61/650,071.53 = 149,011.68/x
  3. Step 3: Cross multiply
    433,332.61x = 650,071.53 × 149,011.68
  4. Step 4: Simplify right side
    433,332.61x = 96,868,250,805.47
  5. Step 5: Solve for x
    x = 96,868,250,805.47/433,332.61
  6. Step 6: Final answer
    x = 223,542.49

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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.