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Finding the Fourth Proportional to 306,085.83, 422,320.01 and 178,688.22

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Solution

The fourth proportional to 306,085.83, 422,320.01 and 178,688.22 is: 246,543.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,085.83 : 422,320.01 = 178,688.22 : x
  2. Step 2: Convert to fraction form
    306,085.83/422,320.01 = 178,688.22/x
  3. Step 3: Cross multiply
    306,085.83x = 422,320.01 × 178,688.22
  4. Step 4: Simplify right side
    306,085.83x = 75,463,609,963.84
  5. Step 5: Solve for x
    x = 75,463,609,963.84/306,085.83
  6. Step 6: Final answer
    x = 246,543.95

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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.