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Finding the Fourth Proportional to 314,468.83, 433,974.11 and 178,490.05

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Solution

The fourth proportional to 314,468.83, 433,974.11 and 178,490.05 is: 246,320.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,468.83 : 433,974.11 = 178,490.05 : x
  2. Step 2: Convert to fraction form
    314,468.83/433,974.11 = 178,490.05/x
  3. Step 3: Cross multiply
    314,468.83x = 433,974.11 × 178,490.05
  4. Step 4: Simplify right side
    314,468.83x = 77,460,060,785.09
  5. Step 5: Solve for x
    x = 77,460,060,785.09/314,468.83
  6. Step 6: Final answer
    x = 246,320.32

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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.