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Finding the Fourth Proportional to 460,107.32, 690,230.64 and 144,534.56

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Solution

The fourth proportional to 460,107.32, 690,230.64 and 144,534.56 is: 216,823.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,107.32 : 690,230.64 = 144,534.56 : x
  2. Step 2: Convert to fraction form
    460,107.32/690,230.64 = 144,534.56/x
  3. Step 3: Cross multiply
    460,107.32x = 690,230.64 × 144,534.56
  4. Step 4: Simplify right side
    460,107.32x = 99,762,181,850.92
  5. Step 5: Solve for x
    x = 99,762,181,850.92/460,107.32
  6. Step 6: Final answer
    x = 216,823.72

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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.