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Finding the Fourth Proportional to 506,904, 760,356 and 132,927

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Solution

The fourth proportional to 506,904, 760,356 and 132,927 is: 199,390.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,904 : 760,356 = 132,927 : x
  2. Step 2: Convert to fraction form
    506,904/760,356 = 132,927/x
  3. Step 3: Cross multiply
    506,904x = 760,356 × 132,927
  4. Step 4: Simplify right side
    506,904x = 101,071,842,012
  5. Step 5: Solve for x
    x = 101,071,842,012/506,904
  6. Step 6: Final answer
    x = 199,390.50

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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.