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Finding the Fourth Proportional to 306,718.64, 460,171.86 and 157,064.89

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Solution

The fourth proportional to 306,718.64, 460,171.86 and 157,064.89 is: 235,645.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,718.64 : 460,171.86 = 157,064.89 : x
  2. Step 2: Convert to fraction form
    306,718.64/460,171.86 = 157,064.89/x
  3. Step 3: Cross multiply
    306,718.64x = 460,171.86 × 157,064.89
  4. Step 4: Simplify right side
    306,718.64x = 72,276,841,421.57
  5. Step 5: Solve for x
    x = 72,276,841,421.57/306,718.64
  6. Step 6: Final answer
    x = 235,645.41

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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.