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Finding the Fourth Proportional to 597,332.20, 895,986.78 and 148,054

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Solution

The fourth proportional to 597,332.20, 895,986.78 and 148,054 is: 222,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,332.20 : 895,986.78 = 148,054 : x
  2. Step 2: Convert to fraction form
    597,332.20/895,986.78 = 148,054/x
  3. Step 3: Cross multiply
    597,332.20x = 895,986.78 × 148,054
  4. Step 4: Simplify right side
    597,332.20x = 132,654,426,726.12
  5. Step 5: Solve for x
    x = 132,654,426,726.12/597,332.20
  6. Step 6: Final answer
    x = 222,078.14

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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.