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Finding the Fourth Proportional to 426,169.58, 588,335.14 and 311,319.27

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Solution

The fourth proportional to 426,169.58, 588,335.14 and 311,319.27 is: 429,782.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,169.58 : 588,335.14 = 311,319.27 : x
  2. Step 2: Convert to fraction form
    426,169.58/588,335.14 = 311,319.27/x
  3. Step 3: Cross multiply
    426,169.58x = 588,335.14 × 311,319.27
  4. Step 4: Simplify right side
    426,169.58x = 183,160,067,728.11
  5. Step 5: Solve for x
    x = 183,160,067,728.11/426,169.58
  6. Step 6: Final answer
    x = 429,782.13

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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.