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Finding the Fourth Proportional to 507,945.86, 700,711.53 and 324,270.26

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Solution

The fourth proportional to 507,945.86, 700,711.53 and 324,270.26 is: 447,330.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,945.86 : 700,711.53 = 324,270.26 : x
  2. Step 2: Convert to fraction form
    507,945.86/700,711.53 = 324,270.26/x
  3. Step 3: Cross multiply
    507,945.86x = 700,711.53 × 324,270.26
  4. Step 4: Simplify right side
    507,945.86x = 227,219,910,018.10
  5. Step 5: Solve for x
    x = 227,219,910,018.10/507,945.86
  6. Step 6: Final answer
    x = 447,330.96

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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.