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Finding the Fourth Proportional to 426,630.62, 588,746.76 and 233,038.46

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Solution

The fourth proportional to 426,630.62, 588,746.76 and 233,038.46 is: 321,591.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,630.62 : 588,746.76 = 233,038.46 : x
  2. Step 2: Convert to fraction form
    426,630.62/588,746.76 = 233,038.46/x
  3. Step 3: Cross multiply
    426,630.62x = 588,746.76 × 233,038.46
  4. Step 4: Simplify right side
    426,630.62x = 137,200,638,280.39
  5. Step 5: Solve for x
    x = 137,200,638,280.39/426,630.62
  6. Step 6: Final answer
    x = 321,591.17

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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.