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Finding the Fourth Proportional to 473,472.80, 709,287.60 and 285,927.20

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Solution

The fourth proportional to 473,472.80, 709,287.60 and 285,927.20 is: 428,334.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,472.80 : 709,287.60 = 285,927.20 : x
  2. Step 2: Convert to fraction form
    473,472.80/709,287.60 = 285,927.20/x
  3. Step 3: Cross multiply
    473,472.80x = 709,287.60 × 285,927.20
  4. Step 4: Simplify right side
    473,472.80x = 202,804,617,462.72
  5. Step 5: Solve for x
    x = 202,804,617,462.72/473,472.80
  6. Step 6: Final answer
    x = 428,334.25

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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.