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Finding the Fourth Proportional to 506,297.96, 698,362 and 324,722.30

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Solution

The fourth proportional to 506,297.96, 698,362 and 324,722.30 is: 447,905.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,297.96 : 698,362 = 324,722.30 : x
  2. Step 2: Convert to fraction form
    506,297.96/698,362 = 324,722.30/x
  3. Step 3: Cross multiply
    506,297.96x = 698,362 × 324,722.30
  4. Step 4: Simplify right side
    506,297.96x = 226,773,714,872.60
  5. Step 5: Solve for x
    x = 226,773,714,872.60/506,297.96
  6. Step 6: Final answer
    x = 447,905.65

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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.