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Finding the Fourth Proportional to 311,106.60, 429,335.10 and 175,145.40

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Solution

The fourth proportional to 311,106.60, 429,335.10 and 175,145.40 is: 241,705.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,106.60 : 429,335.10 = 175,145.40 : x
  2. Step 2: Convert to fraction form
    311,106.60/429,335.10 = 175,145.40/x
  3. Step 3: Cross multiply
    311,106.60x = 429,335.10 × 175,145.40
  4. Step 4: Simplify right side
    311,106.60x = 75,196,067,823.54
  5. Step 5: Solve for x
    x = 75,196,067,823.54/311,106.60
  6. Step 6: Final answer
    x = 241,705.15

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.