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Finding the Fourth Proportional to 523,420.46, 722,262.85 and 293,931.26

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Solution

The fourth proportional to 523,420.46, 722,262.85 and 293,931.26 is: 405,592.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,420.46 : 722,262.85 = 293,931.26 : x
  2. Step 2: Convert to fraction form
    523,420.46/722,262.85 = 293,931.26/x
  3. Step 3: Cross multiply
    523,420.46x = 722,262.85 × 293,931.26
  4. Step 4: Simplify right side
    523,420.46x = 212,295,625,205.55
  5. Step 5: Solve for x
    x = 212,295,625,205.55/523,420.46
  6. Step 6: Final answer
    x = 405,592.91

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1.5x scale

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.