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Finding the Fourth Proportional to 463,874.40, 695,293.20 and 264,290.40

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Solution

The fourth proportional to 463,874.40, 695,293.20 and 264,290.40 is: 396,140.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,874.40 : 695,293.20 = 264,290.40 : x
  2. Step 2: Convert to fraction form
    463,874.40/695,293.20 = 264,290.40/x
  3. Step 3: Cross multiply
    463,874.40x = 695,293.20 × 264,290.40
  4. Step 4: Simplify right side
    463,874.40x = 183,759,317,945.28
  5. Step 5: Solve for x
    x = 183,759,317,945.28/463,874.40
  6. Step 6: Final answer
    x = 396,140.24

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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.