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Finding the Fourth Proportional to 463,777.92, 695,632.86 and 148,150.08

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Solution

The fourth proportional to 463,777.92, 695,632.86 and 148,150.08 is: 222,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,777.92 : 695,632.86 = 148,150.08 : x
  2. Step 2: Convert to fraction form
    463,777.92/695,632.86 = 148,150.08/x
  3. Step 3: Cross multiply
    463,777.92x = 695,632.86 × 148,150.08
  4. Step 4: Simplify right side
    463,777.92x = 103,058,063,859.63
  5. Step 5: Solve for x
    x = 103,058,063,859.63/463,777.92
  6. Step 6: Final answer
    x = 222,214.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.