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Finding the Fourth Proportional to 295,601.38, 407,931.52 and 161,465.38

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Solution

The fourth proportional to 295,601.38, 407,931.52 and 161,465.38 is: 222,823.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,601.38 : 407,931.52 = 161,465.38 : x
  2. Step 2: Convert to fraction form
    295,601.38/407,931.52 = 161,465.38/x
  3. Step 3: Cross multiply
    295,601.38x = 407,931.52 × 161,465.38
  4. Step 4: Simplify right side
    295,601.38x = 65,866,817,890.78
  5. Step 5: Solve for x
    x = 65,866,817,890.78/295,601.38
  6. Step 6: Final answer
    x = 222,823.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.