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Finding the Fourth Proportional to 377,688.16, 521,214.24 and 207,933.76

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Solution

The fourth proportional to 377,688.16, 521,214.24 and 207,933.76 is: 286,951.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,688.16 : 521,214.24 = 207,933.76 : x
  2. Step 2: Convert to fraction form
    377,688.16/521,214.24 = 207,933.76/x
  3. Step 3: Cross multiply
    377,688.16x = 521,214.24 × 207,933.76
  4. Step 4: Simplify right side
    377,688.16x = 108,378,036,688.74
  5. Step 5: Solve for x
    x = 108,378,036,688.74/377,688.16
  6. Step 6: Final answer
    x = 286,951.11

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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.