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Finding the Fourth Proportional to 523,833.50, 722,895.28 and 297,480.62

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Solution

The fourth proportional to 523,833.50, 722,895.28 and 297,480.62 is: 410,526.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,833.50 : 722,895.28 = 297,480.62 : x
  2. Step 2: Convert to fraction form
    523,833.50/722,895.28 = 297,480.62/x
  3. Step 3: Cross multiply
    523,833.50x = 722,895.28 × 297,480.62
  4. Step 4: Simplify right side
    523,833.50x = 215,047,336,089.47
  5. Step 5: Solve for x
    x = 215,047,336,089.47/523,833.50
  6. Step 6: Final answer
    x = 410,526.12

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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.