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Finding the Fourth Proportional to 409,955.32, 615,051.96 and 170,025.22

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Solution

The fourth proportional to 409,955.32, 615,051.96 and 170,025.22 is: 255,087.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,955.32 : 615,051.96 = 170,025.22 : x
  2. Step 2: Convert to fraction form
    409,955.32/615,051.96 = 170,025.22/x
  3. Step 3: Cross multiply
    409,955.32x = 615,051.96 × 170,025.22
  4. Step 4: Simplify right side
    409,955.32x = 104,574,344,810.43
  5. Step 5: Solve for x
    x = 104,574,344,810.43/409,955.32
  6. Step 6: Final answer
    x = 255,087.18

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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.