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Finding the Fourth Proportional to 313,844.60, 433,113 and 177,892.40

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Solution

The fourth proportional to 313,844.60, 433,113 and 177,892.40 is: 245,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,844.60 : 433,113 = 177,892.40 : x
  2. Step 2: Convert to fraction form
    313,844.60/433,113 = 177,892.40/x
  3. Step 3: Cross multiply
    313,844.60x = 433,113 × 177,892.40
  4. Step 4: Simplify right side
    313,844.60x = 77,047,511,041.20
  5. Step 5: Solve for x
    x = 77,047,511,041.20/313,844.60
  6. Step 6: Final answer
    x = 245,495.74

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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.