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Finding the Fourth Proportional to 286,715.70, 430,073.55 and 99,727.20

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Solution

The fourth proportional to 286,715.70, 430,073.55 and 99,727.20 is: 149,590.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,715.70 : 430,073.55 = 99,727.20 : x
  2. Step 2: Convert to fraction form
    286,715.70/430,073.55 = 99,727.20/x
  3. Step 3: Cross multiply
    286,715.70x = 430,073.55 × 99,727.20
  4. Step 4: Simplify right side
    286,715.70x = 42,890,030,935.56
  5. Step 5: Solve for x
    x = 42,890,030,935.56/286,715.70
  6. Step 6: Final answer
    x = 149,590.80

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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.