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Finding the Fourth Proportional to 461,056.32, 636,275.52 and 259,848

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Solution

The fourth proportional to 461,056.32, 636,275.52 and 259,848 is: 358,600.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,056.32 : 636,275.52 = 259,848 : x
  2. Step 2: Convert to fraction form
    461,056.32/636,275.52 = 259,848/x
  3. Step 3: Cross multiply
    461,056.32x = 636,275.52 × 259,848
  4. Step 4: Simplify right side
    461,056.32x = 165,334,921,320.96
  5. Step 5: Solve for x
    x = 165,334,921,320.96/461,056.32
  6. Step 6: Final answer
    x = 358,600.27

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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.