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Finding the Fourth Proportional to 562,463.82, 776,248.56 and 320,756.58

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Solution

The fourth proportional to 562,463.82, 776,248.56 and 320,756.58 is: 442,671.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,463.82 : 776,248.56 = 320,756.58 : x
  2. Step 2: Convert to fraction form
    562,463.82/776,248.56 = 320,756.58/x
  3. Step 3: Cross multiply
    562,463.82x = 776,248.56 × 320,756.58
  4. Step 4: Simplify right side
    562,463.82x = 248,986,833,335.53
  5. Step 5: Solve for x
    x = 248,986,833,335.53/562,463.82
  6. Step 6: Final answer
    x = 442,671.73

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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.