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Finding the Fourth Proportional to 357,270.48, 492,932.28 and 230,019.76

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Solution

The fourth proportional to 357,270.48, 492,932.28 and 230,019.76 is: 317,362.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,270.48 : 492,932.28 = 230,019.76 : x
  2. Step 2: Convert to fraction form
    357,270.48/492,932.28 = 230,019.76/x
  3. Step 3: Cross multiply
    357,270.48x = 492,932.28 × 230,019.76
  4. Step 4: Simplify right side
    357,270.48x = 113,384,164,741.85
  5. Step 5: Solve for x
    x = 113,384,164,741.85/357,270.48
  6. Step 6: Final answer
    x = 317,362.25

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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.