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Finding the Fourth Proportional to 523,470.02, 722,204.68 and 342,288

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Solution

The fourth proportional to 523,470.02, 722,204.68 and 342,288 is: 472,237.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,470.02 : 722,204.68 = 342,288 : x
  2. Step 2: Convert to fraction form
    523,470.02/722,204.68 = 342,288/x
  3. Step 3: Cross multiply
    523,470.02x = 722,204.68 × 342,288
  4. Step 4: Simplify right side
    523,470.02x = 247,201,995,507.84
  5. Step 5: Solve for x
    x = 247,201,995,507.84/523,470.02
  6. Step 6: Final answer
    x = 472,237.16

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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.