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Finding the Fourth Proportional to 225,878.40, 316,929.60 and 225,878.40

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Solution

The fourth proportional to 225,878.40, 316,929.60 and 225,878.40 is: 316,929.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    225,878.40 : 316,929.60 = 225,878.40 : x
  2. Step 2: Convert to fraction form
    225,878.40/316,929.60 = 225,878.40/x
  3. Step 3: Cross multiply
    225,878.40x = 316,929.60 × 225,878.40
  4. Step 4: Simplify right side
    225,878.40x = 71,587,550,960.64
  5. Step 5: Solve for x
    x = 71,587,550,960.64/225,878.40
  6. Step 6: Final answer
    x = 316,929.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.