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Finding the Fourth Proportional to 456,412.70, 683,306.85 and 456,412.70

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Solution

The fourth proportional to 456,412.70, 683,306.85 and 456,412.70 is: 683,306.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,412.70 : 683,306.85 = 456,412.70 : x
  2. Step 2: Convert to fraction form
    456,412.70/683,306.85 = 456,412.70/x
  3. Step 3: Cross multiply
    456,412.70x = 683,306.85 × 456,412.70
  4. Step 4: Simplify right side
    456,412.70x = 311,869,924,337.00
  5. Step 5: Solve for x
    x = 311,869,924,337.00/456,412.70
  6. Step 6: Final answer
    x = 683,306.85

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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.