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Finding the Fourth Proportional to 566,412.84, 781,239.62 and 384,807.64

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Solution

The fourth proportional to 566,412.84, 781,239.62 and 384,807.64 is: 530,755.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,412.84 : 781,239.62 = 384,807.64 : x
  2. Step 2: Convert to fraction form
    566,412.84/781,239.62 = 384,807.64/x
  3. Step 3: Cross multiply
    566,412.84x = 781,239.62 × 384,807.64
  4. Step 4: Simplify right side
    566,412.84x = 300,626,974,446.70
  5. Step 5: Solve for x
    x = 300,626,974,446.70/566,412.84
  6. Step 6: Final answer
    x = 530,755.93

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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.