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Finding the Fourth Proportional to 519,035.76, 716,205.24 and 304,126.56

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Solution

The fourth proportional to 519,035.76, 716,205.24 and 304,126.56 is: 419,657.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,035.76 : 716,205.24 = 304,126.56 : x
  2. Step 2: Convert to fraction form
    519,035.76/716,205.24 = 304,126.56/x
  3. Step 3: Cross multiply
    519,035.76x = 716,205.24 × 304,126.56
  4. Step 4: Simplify right side
    519,035.76x = 217,817,035,895.17
  5. Step 5: Solve for x
    x = 217,817,035,895.17/519,035.76
  6. Step 6: Final answer
    x = 419,657.09

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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.