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Finding the Fourth Proportional to 463,854.40, 695,742.72 and 148,226.56

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Solution

The fourth proportional to 463,854.40, 695,742.72 and 148,226.56 is: 222,327.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,854.40 : 695,742.72 = 148,226.56 : x
  2. Step 2: Convert to fraction form
    463,854.40/695,742.72 = 148,226.56/x
  3. Step 3: Cross multiply
    463,854.40x = 695,742.72 × 148,226.56
  4. Step 4: Simplify right side
    463,854.40x = 103,127,550,030.64
  5. Step 5: Solve for x
    x = 103,127,550,030.64/463,854.40
  6. Step 6: Final answer
    x = 222,327.42

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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.