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Finding the Fourth Proportional to 473,192.16, 708,986.28 and 285,810

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Solution

The fourth proportional to 473,192.16, 708,986.28 and 285,810 is: 428,230.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,192.16 : 708,986.28 = 285,810 : x
  2. Step 2: Convert to fraction form
    473,192.16/708,986.28 = 285,810/x
  3. Step 3: Cross multiply
    473,192.16x = 708,986.28 × 285,810
  4. Step 4: Simplify right side
    473,192.16x = 202,635,368,686.80
  5. Step 5: Solve for x
    x = 202,635,368,686.80/473,192.16
  6. Step 6: Final answer
    x = 428,230.61

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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.