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Finding the Fourth Proportional to 562,731.96, 776,572.38 and 308,106.84

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Solution

The fourth proportional to 562,731.96, 776,572.38 and 308,106.84 is: 425,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,731.96 : 776,572.38 = 308,106.84 : x
  2. Step 2: Convert to fraction form
    562,731.96/776,572.38 = 308,106.84/x
  3. Step 3: Cross multiply
    562,731.96x = 776,572.38 × 308,106.84
  4. Step 4: Simplify right side
    562,731.96x = 239,267,262,033.08
  5. Step 5: Solve for x
    x = 239,267,262,033.08/562,731.96
  6. Step 6: Final answer
    x = 425,188.68

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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.