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Finding the Fourth Proportional to 295,257.60, 442,951.20 and 145,569.60

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Solution

The fourth proportional to 295,257.60, 442,951.20 and 145,569.60 is: 218,386.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,257.60 : 442,951.20 = 145,569.60 : x
  2. Step 2: Convert to fraction form
    295,257.60/442,951.20 = 145,569.60/x
  3. Step 3: Cross multiply
    295,257.60x = 442,951.20 × 145,569.60
  4. Step 4: Simplify right side
    295,257.60x = 64,480,229,003.52
  5. Step 5: Solve for x
    x = 64,480,229,003.52/295,257.60
  6. Step 6: Final answer
    x = 218,386.35

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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.