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Finding the Fourth Proportional to 358,854.40, 538,285.76 and 153,661.44

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Solution

The fourth proportional to 358,854.40, 538,285.76 and 153,661.44 is: 230,493.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,854.40 : 538,285.76 = 153,661.44 : x
  2. Step 2: Convert to fraction form
    358,854.40/538,285.76 = 153,661.44/x
  3. Step 3: Cross multiply
    358,854.40x = 538,285.76 × 153,661.44
  4. Step 4: Simplify right side
    358,854.40x = 82,713,765,013.09
  5. Step 5: Solve for x
    x = 82,713,765,013.09/358,854.40
  6. Step 6: Final answer
    x = 230,493.94

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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.