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Finding the Fourth Proportional to 523,342.57, 722,210.02 and 293,909.53

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Solution

The fourth proportional to 523,342.57, 722,210.02 and 293,909.53 is: 405,593.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,342.57 : 722,210.02 = 293,909.53 : x
  2. Step 2: Convert to fraction form
    523,342.57/722,210.02 = 293,909.53/x
  3. Step 3: Cross multiply
    523,342.57x = 722,210.02 × 293,909.53
  4. Step 4: Simplify right side
    523,342.57x = 212,264,402,458.89
  5. Step 5: Solve for x
    x = 212,264,402,458.89/523,342.57
  6. Step 6: Final answer
    x = 405,593.61

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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.