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Finding the Fourth Proportional to 462,955.28, 694,488.48 and 163,374

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Solution

The fourth proportional to 462,955.28, 694,488.48 and 163,374 is: 245,080.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,955.28 : 694,488.48 = 163,374 : x
  2. Step 2: Convert to fraction form
    462,955.28/694,488.48 = 163,374/x
  3. Step 3: Cross multiply
    462,955.28x = 694,488.48 × 163,374
  4. Step 4: Simplify right side
    462,955.28x = 113,461,360,931.52
  5. Step 5: Solve for x
    x = 113,461,360,931.52/462,955.28
  6. Step 6: Final answer
    x = 245,080.61

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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.