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Finding the Fourth Proportional to 314,036.92, 433,372.96 and 170,798

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Solution

The fourth proportional to 314,036.92, 433,372.96 and 170,798 is: 235,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,036.92 : 433,372.96 = 170,798 : x
  2. Step 2: Convert to fraction form
    314,036.92/433,372.96 = 170,798/x
  3. Step 3: Cross multiply
    314,036.92x = 433,372.96 × 170,798
  4. Step 4: Simplify right side
    314,036.92x = 74,019,234,822.08
  5. Step 5: Solve for x
    x = 74,019,234,822.08/314,036.92
  6. Step 6: Final answer
    x = 235,702.33

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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.