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Finding the Fourth Proportional to 463,466.33, 695,609.55 and 273,689.40

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Solution

The fourth proportional to 463,466.33, 695,609.55 and 273,689.40 is: 410,776.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,466.33 : 695,609.55 = 273,689.40 : x
  2. Step 2: Convert to fraction form
    463,466.33/695,609.55 = 273,689.40/x
  3. Step 3: Cross multiply
    463,466.33x = 695,609.55 × 273,689.40
  4. Step 4: Simplify right side
    463,466.33x = 190,380,960,373.77
  5. Step 5: Solve for x
    x = 190,380,960,373.77/463,466.33
  6. Step 6: Final answer
    x = 410,776.25

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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.