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Finding the Fourth Proportional to 460,082.32, 690,193.14 and 144,509.56

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Solution

The fourth proportional to 460,082.32, 690,193.14 and 144,509.56 is: 216,786.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,082.32 : 690,193.14 = 144,509.56 : x
  2. Step 2: Convert to fraction form
    460,082.32/690,193.14 = 144,509.56/x
  3. Step 3: Cross multiply
    460,082.32x = 690,193.14 × 144,509.56
  4. Step 4: Simplify right side
    460,082.32x = 99,739,506,976.42
  5. Step 5: Solve for x
    x = 99,739,506,976.42/460,082.32
  6. Step 6: Final answer
    x = 216,786.22

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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.