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Finding the Fourth Proportional to 473,004.80, 709,507.20 and 421,683.20

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Solution

The fourth proportional to 473,004.80, 709,507.20 and 421,683.20 is: 632,524.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,004.80 : 709,507.20 = 421,683.20 : x
  2. Step 2: Convert to fraction form
    473,004.80/709,507.20 = 421,683.20/x
  3. Step 3: Cross multiply
    473,004.80x = 709,507.20 × 421,683.20
  4. Step 4: Simplify right side
    473,004.80x = 299,187,266,519.04
  5. Step 5: Solve for x
    x = 299,187,266,519.04/473,004.80
  6. Step 6: Final answer
    x = 632,524.80

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Similar ratio
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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.