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Finding the Fourth Proportional to 310,014, 465,025.32 and 88,398

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Solution

The fourth proportional to 310,014, 465,025.32 and 88,398 is: 132,598.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,014 : 465,025.32 = 88,398 : x
  2. Step 2: Convert to fraction form
    310,014/465,025.32 = 88,398/x
  3. Step 3: Cross multiply
    310,014x = 465,025.32 × 88,398
  4. Step 4: Simplify right side
    310,014x = 41,107,308,237.36
  5. Step 5: Solve for x
    x = 41,107,308,237.36/310,014
  6. Step 6: Final answer
    x = 132,598.23

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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.