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Finding the Fourth Proportional to 496,407.78, 744,488.65 and 141,424.87

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Solution

The fourth proportional to 496,407.78, 744,488.65 and 141,424.87 is: 212,102.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    496,407.78 : 744,488.65 = 141,424.87 : x
  2. Step 2: Convert to fraction form
    496,407.78/744,488.65 = 141,424.87/x
  3. Step 3: Cross multiply
    496,407.78x = 744,488.65 × 141,424.87
  4. Step 4: Simplify right side
    496,407.78x = 105,289,210,854.60
  5. Step 5: Solve for x
    x = 105,289,210,854.60/496,407.78
  6. Step 6: Final answer
    x = 212,102.26

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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.