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Finding the Fourth Proportional to 292,358.24, 403,454.76 and 158,222.24

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Solution

The fourth proportional to 292,358.24, 403,454.76 and 158,222.24 is: 218,346.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,358.24 : 403,454.76 = 158,222.24 : x
  2. Step 2: Convert to fraction form
    292,358.24/403,454.76 = 158,222.24/x
  3. Step 3: Cross multiply
    292,358.24x = 403,454.76 × 158,222.24
  4. Step 4: Simplify right side
    292,358.24x = 63,835,515,865.86
  5. Step 5: Solve for x
    x = 63,835,515,865.86/292,358.24
  6. Step 6: Final answer
    x = 218,346.90

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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.