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Finding the Fourth Proportional to 360,665.74, 497,755.70 and 207,709.66

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Solution

The fourth proportional to 360,665.74, 497,755.70 and 207,709.66 is: 286,660.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,665.74 : 497,755.70 = 207,709.66 : x
  2. Step 2: Convert to fraction form
    360,665.74/497,755.70 = 207,709.66/x
  3. Step 3: Cross multiply
    360,665.74x = 497,755.70 × 207,709.66
  4. Step 4: Simplify right side
    360,665.74x = 103,388,667,210.06
  5. Step 5: Solve for x
    x = 103,388,667,210.06/360,665.74
  6. Step 6: Final answer
    x = 286,660.63

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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.