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Finding the Fourth Proportional to 523,852.80, 722,921.84 and 297,499.92

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Solution

The fourth proportional to 523,852.80, 722,921.84 and 297,499.92 is: 410,552.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,852.80 : 722,921.84 = 297,499.92 : x
  2. Step 2: Convert to fraction form
    523,852.80/722,921.84 = 297,499.92/x
  3. Step 3: Cross multiply
    523,852.80x = 722,921.84 × 297,499.92
  4. Step 4: Simplify right side
    523,852.80x = 215,069,189,566.25
  5. Step 5: Solve for x
    x = 215,069,189,566.25/523,852.80
  6. Step 6: Final answer
    x = 410,552.72

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.