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Finding the Fourth Proportional to 312,186.95, 430,830.32 and 176,225.75

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Solution

The fourth proportional to 312,186.95, 430,830.32 and 176,225.75 is: 243,198.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,186.95 : 430,830.32 = 176,225.75 : x
  2. Step 2: Convert to fraction form
    312,186.95/430,830.32 = 176,225.75/x
  3. Step 3: Cross multiply
    312,186.95x = 430,830.32 × 176,225.75
  4. Step 4: Simplify right side
    312,186.95x = 75,923,396,264.74
  5. Step 5: Solve for x
    x = 75,923,396,264.74/312,186.95
  6. Step 6: Final answer
    x = 243,198.49

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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.