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Finding the Fourth Proportional to 519,067.30, 778,710.30 and 164,117.20

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Solution

The fourth proportional to 519,067.30, 778,710.30 and 164,117.20 is: 246,210.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,067.30 : 778,710.30 = 164,117.20 : x
  2. Step 2: Convert to fraction form
    519,067.30/778,710.30 = 164,117.20/x
  3. Step 3: Cross multiply
    519,067.30x = 778,710.30 × 164,117.20
  4. Step 4: Simplify right side
    519,067.30x = 127,799,754,047.16
  5. Step 5: Solve for x
    x = 127,799,754,047.16/519,067.30
  6. Step 6: Final answer
    x = 246,210.37

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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.