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Finding the Fourth Proportional to 463,860.96, 695,878.92 and 148,233.12

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Solution

The fourth proportional to 463,860.96, 695,878.92 and 148,233.12 is: 222,377.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,860.96 : 695,878.92 = 148,233.12 : x
  2. Step 2: Convert to fraction form
    463,860.96/695,878.92 = 148,233.12/x
  3. Step 3: Cross multiply
    463,860.96x = 695,878.92 × 148,233.12
  4. Step 4: Simplify right side
    463,860.96x = 103,152,303,453.83
  5. Step 5: Solve for x
    x = 103,152,303,453.83/463,860.96
  6. Step 6: Final answer
    x = 222,377.64

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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.