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Finding the Fourth Proportional to 506,298.96, 698,363.38 and 324,723.30

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Solution

The fourth proportional to 506,298.96, 698,363.38 and 324,723.30 is: 447,907.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,298.96 : 698,363.38 = 324,723.30 : x
  2. Step 2: Convert to fraction form
    506,298.96/698,363.38 = 324,723.30/x
  3. Step 3: Cross multiply
    506,298.96x = 698,363.38 × 324,723.30
  4. Step 4: Simplify right side
    506,298.96x = 226,774,861,352.75
  5. Step 5: Solve for x
    x = 226,774,861,352.75/506,298.96
  6. Step 6: Final answer
    x = 447,907.03

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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.