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Finding the Fourth Proportional to 506,294.54, 698,357.26 and 324,718.86

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Solution

The fourth proportional to 506,294.54, 698,357.26 and 324,718.86 is: 447,900.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,294.54 : 698,357.26 = 324,718.86 : x
  2. Step 2: Convert to fraction form
    506,294.54/698,357.26 = 324,718.86/x
  3. Step 3: Cross multiply
    506,294.54x = 698,357.26 × 324,718.86
  4. Step 4: Simplify right side
    506,294.54x = 226,769,776,364.66
  5. Step 5: Solve for x
    x = 226,769,776,364.66/506,294.54
  6. Step 6: Final answer
    x = 447,900.89

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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.