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Finding the Fourth Proportional to 410,032.60, 614,830.20 and 173,107.60

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Solution

The fourth proportional to 410,032.60, 614,830.20 and 173,107.60 is: 259,569.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,032.60 : 614,830.20 = 173,107.60 : x
  2. Step 2: Convert to fraction form
    410,032.60/614,830.20 = 173,107.60/x
  3. Step 3: Cross multiply
    410,032.60x = 614,830.20 × 173,107.60
  4. Step 4: Simplify right side
    410,032.60x = 106,431,780,329.52
  5. Step 5: Solve for x
    x = 106,431,780,329.52/410,032.60
  6. Step 6: Final answer
    x = 259,569.07

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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.