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Finding the Fourth Proportional to 260,541.60, 390,812.40 and 142,443.60

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Solution

The fourth proportional to 260,541.60, 390,812.40 and 142,443.60 is: 213,665.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,541.60 : 390,812.40 = 142,443.60 : x
  2. Step 2: Convert to fraction form
    260,541.60/390,812.40 = 142,443.60/x
  3. Step 3: Cross multiply
    260,541.60x = 390,812.40 × 142,443.60
  4. Step 4: Simplify right side
    260,541.60x = 55,668,725,180.64
  5. Step 5: Solve for x
    x = 55,668,725,180.64/260,541.60
  6. Step 6: Final answer
    x = 213,665.40

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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.