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Finding the Fourth Proportional to 473,003.20, 709,504.80 and 305,041.60

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Solution

The fourth proportional to 473,003.20, 709,504.80 and 305,041.60 is: 457,562.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,003.20 : 709,504.80 = 305,041.60 : x
  2. Step 2: Convert to fraction form
    473,003.20/709,504.80 = 305,041.60/x
  3. Step 3: Cross multiply
    473,003.20x = 709,504.80 × 305,041.60
  4. Step 4: Simplify right side
    473,003.20x = 216,428,479,399.68
  5. Step 5: Solve for x
    x = 216,428,479,399.68/473,003.20
  6. Step 6: Final answer
    x = 457,562.40

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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.