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Finding the Fourth Proportional to 589,715.40, 883,260.90 and 510,983.40

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Solution

The fourth proportional to 589,715.40, 883,260.90 and 510,983.40 is: 765,338.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,715.40 : 883,260.90 = 510,983.40 : x
  2. Step 2: Convert to fraction form
    589,715.40/883,260.90 = 510,983.40/x
  3. Step 3: Cross multiply
    589,715.40x = 883,260.90 × 510,983.40
  4. Step 4: Simplify right side
    589,715.40x = 451,331,657,769.06
  5. Step 5: Solve for x
    x = 451,331,657,769.06/589,715.40
  6. Step 6: Final answer
    x = 765,338.09

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.