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Finding the Fourth Proportional to 410,704.40, 616,148.40 and 144,473.60

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Solution

The fourth proportional to 410,704.40, 616,148.40 and 144,473.60 is: 216,742.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,704.40 : 616,148.40 = 144,473.60 : x
  2. Step 2: Convert to fraction form
    410,704.40/616,148.40 = 144,473.60/x
  3. Step 3: Cross multiply
    410,704.40x = 616,148.40 × 144,473.60
  4. Step 4: Simplify right side
    410,704.40x = 89,017,177,482.24
  5. Step 5: Solve for x
    x = 89,017,177,482.24/410,704.40
  6. Step 6: Final answer
    x = 216,742.69

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.