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Finding the Fourth Proportional to 310,322.10, 465,713.55 and 123,467.70

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Solution

The fourth proportional to 310,322.10, 465,713.55 and 123,467.70 is: 185,293.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,322.10 : 465,713.55 = 123,467.70 : x
  2. Step 2: Convert to fraction form
    310,322.10/465,713.55 = 123,467.70/x
  3. Step 3: Cross multiply
    310,322.10x = 465,713.55 × 123,467.70
  4. Step 4: Simplify right side
    310,322.10x = 57,500,580,877.34
  5. Step 5: Solve for x
    x = 57,500,580,877.34/310,322.10
  6. Step 6: Final answer
    x = 185,293.22

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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.