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Finding the Fourth Proportional to 499,421.76, 749,139.54 and 162,464.17

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Solution

The fourth proportional to 499,421.76, 749,139.54 and 162,464.17 is: 243,698.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,421.76 : 749,139.54 = 162,464.17 : x
  2. Step 2: Convert to fraction form
    499,421.76/749,139.54 = 162,464.17/x
  3. Step 3: Cross multiply
    499,421.76x = 749,139.54 × 162,464.17
  4. Step 4: Simplify right side
    499,421.76x = 121,708,332,316.67
  5. Step 5: Solve for x
    x = 121,708,332,316.67/499,421.76
  6. Step 6: Final answer
    x = 243,698.50

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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.