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Finding the Fourth Proportional to 562,314.96, 776,013.84 and 320,633.28

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Solution

The fourth proportional to 562,314.96, 776,013.84 and 320,633.28 is: 442,484.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,314.96 : 776,013.84 = 320,633.28 : x
  2. Step 2: Convert to fraction form
    562,314.96/776,013.84 = 320,633.28/x
  3. Step 3: Cross multiply
    562,314.96x = 776,013.84 × 320,633.28
  4. Step 4: Simplify right side
    562,314.96x = 248,815,862,844.60
  5. Step 5: Solve for x
    x = 248,815,862,844.60/562,314.96
  6. Step 6: Final answer
    x = 442,484.87

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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.