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Finding the Fourth Proportional to 294,141.76, 405,919.68 and 160,005.76

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Solution

The fourth proportional to 294,141.76, 405,919.68 and 160,005.76 is: 220,810.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,141.76 : 405,919.68 = 160,005.76 : x
  2. Step 2: Convert to fraction form
    294,141.76/405,919.68 = 160,005.76/x
  3. Step 3: Cross multiply
    294,141.76x = 405,919.68 × 160,005.76
  4. Step 4: Simplify right side
    294,141.76x = 64,949,486,897.36
  5. Step 5: Solve for x
    x = 64,949,486,897.36/294,141.76
  6. Step 6: Final answer
    x = 220,810.15

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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.