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Finding the Fourth Proportional to 473,158.80, 709,738.20 and 429,613.20

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Solution

The fourth proportional to 473,158.80, 709,738.20 and 429,613.20 is: 644,419.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,158.80 : 709,738.20 = 429,613.20 : x
  2. Step 2: Convert to fraction form
    473,158.80/709,738.20 = 429,613.20/x
  3. Step 3: Cross multiply
    473,158.80x = 709,738.20 × 429,613.20
  4. Step 4: Simplify right side
    473,158.80x = 304,912,899,264.24
  5. Step 5: Solve for x
    x = 304,912,899,264.24/473,158.80
  6. Step 6: Final answer
    x = 644,419.80

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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.