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Finding the Fourth Proportional to 231,641.20, 347,461.80 and 160,782.40

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Solution

The fourth proportional to 231,641.20, 347,461.80 and 160,782.40 is: 241,173.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,641.20 : 347,461.80 = 160,782.40 : x
  2. Step 2: Convert to fraction form
    231,641.20/347,461.80 = 160,782.40/x
  3. Step 3: Cross multiply
    231,641.20x = 347,461.80 × 160,782.40
  4. Step 4: Simplify right side
    231,641.20x = 55,865,742,112.32
  5. Step 5: Solve for x
    x = 55,865,742,112.32/231,641.20
  6. Step 6: Final answer
    x = 241,173.60

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1.5x scale

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.