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Finding the Fourth Proportional to 265,968.46, 398,318.45 and 147,345.58

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Solution

The fourth proportional to 265,968.46, 398,318.45 and 147,345.58 is: 220,667.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    265,968.46 : 398,318.45 = 147,345.58 : x
  2. Step 2: Convert to fraction form
    265,968.46/398,318.45 = 147,345.58/x
  3. Step 3: Cross multiply
    265,968.46x = 398,318.45 × 147,345.58
  4. Step 4: Simplify right side
    265,968.46x = 58,690,461,416.72
  5. Step 5: Solve for x
    x = 58,690,461,416.72/265,968.46
  6. Step 6: Final answer
    x = 220,667.00

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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.