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Finding the Fourth Proportional to 508,101.14, 701,237.37 and 293,298.86

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Solution

The fourth proportional to 508,101.14, 701,237.37 and 293,298.86 is: 404,785.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,101.14 : 701,237.37 = 293,298.86 : x
  2. Step 2: Convert to fraction form
    508,101.14/701,237.37 = 293,298.86/x
  3. Step 3: Cross multiply
    508,101.14x = 701,237.37 × 293,298.86
  4. Step 4: Simplify right side
    508,101.14x = 205,672,121,210.40
  5. Step 5: Solve for x
    x = 205,672,121,210.40/508,101.14
  6. Step 6: Final answer
    x = 404,785.79

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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.