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Finding the Fourth Proportional to 296,005.71, 444,081.47 and 85,664.91

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Solution

The fourth proportional to 296,005.71, 444,081.47 and 85,664.91 is: 128,518.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,005.71 : 444,081.47 = 85,664.91 : x
  2. Step 2: Convert to fraction form
    296,005.71/444,081.47 = 85,664.91/x
  3. Step 3: Cross multiply
    296,005.71x = 444,081.47 × 85,664.91
  4. Step 4: Simplify right side
    296,005.71x = 38,042,199,160.22
  5. Step 5: Solve for x
    x = 38,042,199,160.22/296,005.71
  6. Step 6: Final answer
    x = 128,518.46

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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.