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Finding the Fourth Proportional to 310,663.77, 466,086.37 and 123,702.81

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Solution

The fourth proportional to 310,663.77, 466,086.37 and 123,702.81 is: 185,590.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,663.77 : 466,086.37 = 123,702.81 : x
  2. Step 2: Convert to fraction form
    310,663.77/466,086.37 = 123,702.81/x
  3. Step 3: Cross multiply
    310,663.77x = 466,086.37 × 123,702.81
  4. Step 4: Simplify right side
    310,663.77x = 57,656,191,032.01
  5. Step 5: Solve for x
    x = 57,656,191,032.01/310,663.77
  6. Step 6: Final answer
    x = 185,590.33

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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.