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Finding the Fourth Proportional to 402,965.76, 556,111.44 and 233,166.96

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Solution

The fourth proportional to 402,965.76, 556,111.44 and 233,166.96 is: 321,781.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,965.76 : 556,111.44 = 233,166.96 : x
  2. Step 2: Convert to fraction form
    402,965.76/556,111.44 = 233,166.96/x
  3. Step 3: Cross multiply
    402,965.76x = 556,111.44 × 233,166.96
  4. Step 4: Simplify right side
    402,965.76x = 129,666,813,886.02
  5. Step 5: Solve for x
    x = 129,666,813,886.02/402,965.76
  6. Step 6: Final answer
    x = 321,781.22

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.