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Finding the Fourth Proportional to 650,659.68, 975,878.82 and 177,234.30

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Solution

The fourth proportional to 650,659.68, 975,878.82 and 177,234.30 is: 265,821.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,659.68 : 975,878.82 = 177,234.30 : x
  2. Step 2: Convert to fraction form
    650,659.68/975,878.82 = 177,234.30/x
  3. Step 3: Cross multiply
    650,659.68x = 975,878.82 × 177,234.30
  4. Step 4: Simplify right side
    650,659.68x = 172,959,199,547.53
  5. Step 5: Solve for x
    x = 172,959,199,547.53/650,659.68
  6. Step 6: Final answer
    x = 265,821.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.