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Finding the Fourth Proportional to 286,410.48, 429,782.24 and 117,947.76

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Solution

The fourth proportional to 286,410.48, 429,782.24 and 117,947.76 is: 176,990.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,410.48 : 429,782.24 = 117,947.76 : x
  2. Step 2: Convert to fraction form
    286,410.48/429,782.24 = 117,947.76/x
  3. Step 3: Cross multiply
    286,410.48x = 429,782.24 × 117,947.76
  4. Step 4: Simplify right side
    286,410.48x = 50,691,852,495.78
  5. Step 5: Solve for x
    x = 50,691,852,495.78/286,410.48
  6. Step 6: Final answer
    x = 176,990.22

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.