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Finding the Fourth Proportional to 306,718.61, 460,171.81 and 157,064.86

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Solution

The fourth proportional to 306,718.61, 460,171.81 and 157,064.86 is: 235,645.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,718.61 : 460,171.81 = 157,064.86 : x
  2. Step 2: Convert to fraction form
    306,718.61/460,171.81 = 157,064.86/x
  3. Step 3: Cross multiply
    306,718.61x = 460,171.81 × 157,064.86
  4. Step 4: Simplify right side
    306,718.61x = 72,276,820,913.60
  5. Step 5: Solve for x
    x = 72,276,820,913.60/306,718.61
  6. Step 6: Final answer
    x = 235,645.37

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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.