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Finding the Fourth Proportional to 277,595.07, 416,330.34 and 127,691.40

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Solution

The fourth proportional to 277,595.07, 416,330.34 and 127,691.40 is: 191,508.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    277,595.07 : 416,330.34 = 127,691.40 : x
  2. Step 2: Convert to fraction form
    277,595.07/416,330.34 = 127,691.40/x
  3. Step 3: Cross multiply
    277,595.07x = 416,330.34 × 127,691.40
  4. Step 4: Simplify right side
    277,595.07x = 53,161,803,977.08
  5. Step 5: Solve for x
    x = 53,161,803,977.08/277,595.07
  6. Step 6: Final answer
    x = 191,508.46

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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.