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Finding the Fourth Proportional to 566,411.84, 781,238.24 and 384,806.64

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Solution

The fourth proportional to 566,411.84, 781,238.24 and 384,806.64 is: 530,754.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,411.84 : 781,238.24 = 384,806.64 : x
  2. Step 2: Convert to fraction form
    566,411.84/781,238.24 = 384,806.64/x
  3. Step 3: Cross multiply
    566,411.84x = 781,238.24 × 384,806.64
  4. Step 4: Simplify right side
    566,411.84x = 300,625,662,173.91
  5. Step 5: Solve for x
    x = 300,625,662,173.91/566,411.84
  6. Step 6: Final answer
    x = 530,754.55

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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.