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Finding the Fourth Proportional to 358,726.40, 538,046.40 and 148,342.40

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Solution

The fourth proportional to 358,726.40, 538,046.40 and 148,342.40 is: 222,495.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,726.40 : 538,046.40 = 148,342.40 : x
  2. Step 2: Convert to fraction form
    358,726.40/538,046.40 = 148,342.40/x
  3. Step 3: Cross multiply
    358,726.40x = 538,046.40 × 148,342.40
  4. Step 4: Simplify right side
    358,726.40x = 79,815,094,287.36
  5. Step 5: Solve for x
    x = 79,815,094,287.36/358,726.40
  6. Step 6: Final answer
    x = 222,495.74

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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.