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Finding the Fourth Proportional to 460,465.55, 690,772.13 and 194,265.28

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Solution

The fourth proportional to 460,465.55, 690,772.13 and 194,265.28 is: 291,429.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,465.55 : 690,772.13 = 194,265.28 : x
  2. Step 2: Convert to fraction form
    460,465.55/690,772.13 = 194,265.28/x
  3. Step 3: Cross multiply
    460,465.55x = 690,772.13 × 194,265.28
  4. Step 4: Simplify right side
    460,465.55x = 134,193,041,250.65
  5. Step 5: Solve for x
    x = 134,193,041,250.65/460,465.55
  6. Step 6: Final answer
    x = 291,429.06

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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.