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Finding the Fourth Proportional to 456,679.76, 630,344.84 and 265,730.16

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Solution

The fourth proportional to 456,679.76, 630,344.84 and 265,730.16 is: 366,781.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,679.76 : 630,344.84 = 265,730.16 : x
  2. Step 2: Convert to fraction form
    456,679.76/630,344.84 = 265,730.16/x
  3. Step 3: Cross multiply
    456,679.76x = 630,344.84 × 265,730.16
  4. Step 4: Simplify right side
    456,679.76x = 167,501,635,188.37
  5. Step 5: Solve for x
    x = 167,501,635,188.37/456,679.76
  6. Step 6: Final answer
    x = 366,781.39

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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.