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Finding the Fourth Proportional to 310,564.92, 465,968.34 and 123,595.32

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Solution

The fourth proportional to 310,564.92, 465,968.34 and 123,595.32 is: 185,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,564.92 : 465,968.34 = 123,595.32 : x
  2. Step 2: Convert to fraction form
    310,564.92/465,968.34 = 123,595.32/x
  3. Step 3: Cross multiply
    310,564.92x = 465,968.34 × 123,595.32
  4. Step 4: Simplify right side
    310,564.92x = 57,591,506,092.17
  5. Step 5: Solve for x
    x = 57,591,506,092.17/310,564.92
  6. Step 6: Final answer
    x = 185,441.12

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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.