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Finding the Fourth Proportional to 702,423.76, 969,350.88 and 412,209.04

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Solution

The fourth proportional to 702,423.76, 969,350.88 and 412,209.04 is: 568,852.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,423.76 : 969,350.88 = 412,209.04 : x
  2. Step 2: Convert to fraction form
    702,423.76/969,350.88 = 412,209.04/x
  3. Step 3: Cross multiply
    702,423.76x = 969,350.88 × 412,209.04
  4. Step 4: Simplify right side
    702,423.76x = 399,575,195,667.96
  5. Step 5: Solve for x
    x = 399,575,195,667.96/702,423.76
  6. Step 6: Final answer
    x = 568,852.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.