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Finding the Fourth Proportional to 310,243.86, 464,972.12 and 160,456.23

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Solution

The fourth proportional to 310,243.86, 464,972.12 and 160,456.23 is: 240,480.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,243.86 : 464,972.12 = 160,456.23 : x
  2. Step 2: Convert to fraction form
    310,243.86/464,972.12 = 160,456.23/x
  3. Step 3: Cross multiply
    310,243.86x = 464,972.12 × 160,456.23
  4. Step 4: Simplify right side
    310,243.86x = 74,607,672,628.03
  5. Step 5: Solve for x
    x = 74,607,672,628.03/310,243.86
  6. Step 6: Final answer
    x = 240,480.74

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1.5x scale

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.