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Finding the Fourth Proportional to 310,718.12, 465,754.14 and 210,886.44

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Solution

The fourth proportional to 310,718.12, 465,754.14 and 210,886.44 is: 316,110.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,718.12 : 465,754.14 = 210,886.44 : x
  2. Step 2: Convert to fraction form
    310,718.12/465,754.14 = 210,886.44/x
  3. Step 3: Cross multiply
    310,718.12x = 465,754.14 × 210,886.44
  4. Step 4: Simplify right side
    310,718.12x = 98,221,232,499.86
  5. Step 5: Solve for x
    x = 98,221,232,499.86/310,718.12
  6. Step 6: Final answer
    x = 316,110.41

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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.