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Finding the Fourth Proportional to 506,065.42, 698,093.80 and 324,575.38

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Solution

The fourth proportional to 506,065.42, 698,093.80 and 324,575.38 is: 447,736.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,065.42 : 698,093.80 = 324,575.38 : x
  2. Step 2: Convert to fraction form
    506,065.42/698,093.80 = 324,575.38/x
  3. Step 3: Cross multiply
    506,065.42x = 698,093.80 × 324,575.38
  4. Step 4: Simplify right side
    506,065.42x = 226,584,060,410.64
  5. Step 5: Solve for x
    x = 226,584,060,410.64/506,065.42
  6. Step 6: Final answer
    x = 447,736.70

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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.