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Finding the Fourth Proportional to 523,267.20, 722,113.64 and 296,894.88

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Solution

The fourth proportional to 523,267.20, 722,113.64 and 296,894.88 is: 409,717.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,267.20 : 722,113.64 = 296,894.88 : x
  2. Step 2: Convert to fraction form
    523,267.20/722,113.64 = 296,894.88/x
  3. Step 3: Cross multiply
    523,267.20x = 722,113.64 × 296,894.88
  4. Step 4: Simplify right side
    523,267.20x = 214,391,842,494.16
  5. Step 5: Solve for x
    x = 214,391,842,494.16/523,267.20
  6. Step 6: Final answer
    x = 409,717.72

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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.