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Finding the Fourth Proportional to 310,566.92, 465,971.34 and 123,597.32

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Solution

The fourth proportional to 310,566.92, 465,971.34 and 123,597.32 is: 185,444.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,566.92 : 465,971.34 = 123,597.32 : x
  2. Step 2: Convert to fraction form
    310,566.92/465,971.34 = 123,597.32/x
  3. Step 3: Cross multiply
    310,566.92x = 465,971.34 × 123,597.32
  4. Step 4: Simplify right side
    310,566.92x = 57,592,808,820.81
  5. Step 5: Solve for x
    x = 57,592,808,820.81/310,566.92
  6. Step 6: Final answer
    x = 185,444.12

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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.