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Finding the Fourth Proportional to 523,543.16, 722,410.85 and 294,056.46

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Solution

The fourth proportional to 523,543.16, 722,410.85 and 294,056.46 is: 405,753.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,543.16 : 722,410.85 = 294,056.46 : x
  2. Step 2: Convert to fraction form
    523,543.16/722,410.85 = 294,056.46/x
  3. Step 3: Cross multiply
    523,543.16x = 722,410.85 × 294,056.46
  4. Step 4: Simplify right side
    523,543.16x = 212,429,577,951.73
  5. Step 5: Solve for x
    x = 212,429,577,951.73/523,543.16
  6. Step 6: Final answer
    x = 405,753.71

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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.