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Finding the Fourth Proportional to 499,124.80, 748,784.40 and 144,150.40

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Solution

The fourth proportional to 499,124.80, 748,784.40 and 144,150.40 is: 216,253.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,124.80 : 748,784.40 = 144,150.40 : x
  2. Step 2: Convert to fraction form
    499,124.80/748,784.40 = 144,150.40/x
  3. Step 3: Cross multiply
    499,124.80x = 748,784.40 × 144,150.40
  4. Step 4: Simplify right side
    499,124.80x = 107,937,570,773.76
  5. Step 5: Solve for x
    x = 107,937,570,773.76/499,124.80
  6. Step 6: Final answer
    x = 216,253.67

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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.