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Finding the Fourth Proportional to 384,662.90, 530,807.00 and 212,578.81

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Solution

The fourth proportional to 384,662.90, 530,807.00 and 212,578.81 is: 293,343.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,662.90 : 530,807.00 = 212,578.81 : x
  2. Step 2: Convert to fraction form
    384,662.90/530,807.00 = 212,578.81/x
  3. Step 3: Cross multiply
    384,662.90x = 530,807.00 × 212,578.81
  4. Step 4: Simplify right side
    384,662.90x = 112,838,318,009.76
  5. Step 5: Solve for x
    x = 112,838,318,009.76/384,662.90
  6. Step 6: Final answer
    x = 293,343.39

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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.