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Finding the Fourth Proportional to 275,808.94, 380,632.56 and 207,705.76

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Solution

The fourth proportional to 275,808.94, 380,632.56 and 207,705.76 is: 286,646.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    275,808.94 : 380,632.56 = 207,705.76 : x
  2. Step 2: Convert to fraction form
    275,808.94/380,632.56 = 207,705.76/x
  3. Step 3: Cross multiply
    275,808.94x = 380,632.56 × 207,705.76
  4. Step 4: Simplify right side
    275,808.94x = 79,059,575,155.55
  5. Step 5: Solve for x
    x = 79,059,575,155.55/275,808.94
  6. Step 6: Final answer
    x = 286,646.17

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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.