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Finding the Fourth Proportional to 465,980.63, 699,117.65 and 166,454.57

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Solution

The fourth proportional to 465,980.63, 699,117.65 and 166,454.57 is: 249,734.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,980.63 : 699,117.65 = 166,454.57 : x
  2. Step 2: Convert to fraction form
    465,980.63/699,117.65 = 166,454.57/x
  3. Step 3: Cross multiply
    465,980.63x = 699,117.65 × 166,454.57
  4. Step 4: Simplify right side
    465,980.63x = 116,371,327,810.16
  5. Step 5: Solve for x
    x = 116,371,327,810.16/465,980.63
  6. Step 6: Final answer
    x = 249,734.26

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1.5x scale

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.