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Finding the Fourth Proportional to 476,470.84, 714,725.71 and 121,494.06

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Solution

The fourth proportional to 476,470.84, 714,725.71 and 121,494.06 is: 182,246.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,470.84 : 714,725.71 = 121,494.06 : x
  2. Step 2: Convert to fraction form
    476,470.84/714,725.71 = 121,494.06/x
  3. Step 3: Cross multiply
    476,470.84x = 714,725.71 × 121,494.06
  4. Step 4: Simplify right side
    476,470.84x = 86,834,928,294.28
  5. Step 5: Solve for x
    x = 86,834,928,294.28/476,470.84
  6. Step 6: Final answer
    x = 182,246.05

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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.