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Finding the Fourth Proportional to 465,159.76, 697,567.42 and 165,559.90

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Solution

The fourth proportional to 465,159.76, 697,567.42 and 165,559.90 is: 248,278.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,159.76 : 697,567.42 = 165,559.90 : x
  2. Step 2: Convert to fraction form
    465,159.76/697,567.42 = 165,559.90/x
  3. Step 3: Cross multiply
    465,159.76x = 697,567.42 × 165,559.90
  4. Step 4: Simplify right side
    465,159.76x = 115,489,191,603.79
  5. Step 5: Solve for x
    x = 115,489,191,603.79/465,159.76
  6. Step 6: Final answer
    x = 248,278.55

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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.