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Finding the Fourth Proportional to 410,120.40, 614,743.20 and 157,303.20

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Solution

The fourth proportional to 410,120.40, 614,743.20 and 157,303.20 is: 235,787.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,120.40 : 614,743.20 = 157,303.20 : x
  2. Step 2: Convert to fraction form
    410,120.40/614,743.20 = 157,303.20/x
  3. Step 3: Cross multiply
    410,120.40x = 614,743.20 × 157,303.20
  4. Step 4: Simplify right side
    410,120.40x = 96,701,072,538.24
  5. Step 5: Solve for x
    x = 96,701,072,538.24/410,120.40
  6. Step 6: Final answer
    x = 235,787.03

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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.