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Finding the Fourth Proportional to 426,356.16, 588,138.66 and 297,089.88

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Solution

The fourth proportional to 426,356.16, 588,138.66 and 297,089.88 is: 409,821.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,356.16 : 588,138.66 = 297,089.88 : x
  2. Step 2: Convert to fraction form
    426,356.16/588,138.66 = 297,089.88/x
  3. Step 3: Cross multiply
    426,356.16x = 588,138.66 × 297,089.88
  4. Step 4: Simplify right side
    426,356.16x = 174,730,043,922.76
  5. Step 5: Solve for x
    x = 174,730,043,922.76/426,356.16
  6. Step 6: Final answer
    x = 409,821.79

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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.