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Finding the Fourth Proportional to 310,563.95, 428,575.66 and 174,598.49

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Solution

The fourth proportional to 310,563.95, 428,575.66 and 174,598.49 is: 240,944.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,563.95 : 428,575.66 = 174,598.49 : x
  2. Step 2: Convert to fraction form
    310,563.95/428,575.66 = 174,598.49/x
  3. Step 3: Cross multiply
    310,563.95x = 428,575.66 × 174,598.49
  4. Step 4: Simplify right side
    310,563.95x = 74,828,663,721.70
  5. Step 5: Solve for x
    x = 74,828,663,721.70/310,563.95
  6. Step 6: Final answer
    x = 240,944.47

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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.