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Finding the Fourth Proportional to 592,075.24, 886,833.46 and 311,002

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Solution

The fourth proportional to 592,075.24, 886,833.46 and 311,002 is: 465,830.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,075.24 : 886,833.46 = 311,002 : x
  2. Step 2: Convert to fraction form
    592,075.24/886,833.46 = 311,002/x
  3. Step 3: Cross multiply
    592,075.24x = 886,833.46 × 311,002
  4. Step 4: Simplify right side
    592,075.24x = 275,806,979,726.92
  5. Step 5: Solve for x
    x = 275,806,979,726.92/592,075.24
  6. Step 6: Final answer
    x = 465,830.96

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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.