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Finding the Fourth Proportional to 265,787.58, 398,681.37 and 182,428.86

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Solution

The fourth proportional to 265,787.58, 398,681.37 and 182,428.86 is: 273,643.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,787.58 : 398,681.37 = 182,428.86 : x
  2. Step 2: Convert to fraction form
    265,787.58/398,681.37 = 182,428.86/x
  3. Step 3: Cross multiply
    265,787.58x = 398,681.37 × 182,428.86
  4. Step 4: Simplify right side
    265,787.58x = 72,730,987,832.34
  5. Step 5: Solve for x
    x = 72,730,987,832.34/265,787.58
  6. Step 6: Final answer
    x = 273,643.29

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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.