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Finding the Fourth Proportional to 426,293.22, 588,281.82 and 232,700.16

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Solution

The fourth proportional to 426,293.22, 588,281.82 and 232,700.16 is: 321,124.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,293.22 : 588,281.82 = 232,700.16 : x
  2. Step 2: Convert to fraction form
    426,293.22/588,281.82 = 232,700.16/x
  3. Step 3: Cross multiply
    426,293.22x = 588,281.82 × 232,700.16
  4. Step 4: Simplify right side
    426,293.22x = 136,893,273,639.09
  5. Step 5: Solve for x
    x = 136,893,273,639.09/426,293.22
  6. Step 6: Final answer
    x = 321,124.68

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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.