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Finding the Fourth Proportional to 384,253.41, 530,267.67 and 223,148.07

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Solution

The fourth proportional to 384,253.41, 530,267.67 and 223,148.07 is: 307,943.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,253.41 : 530,267.67 = 223,148.07 : x
  2. Step 2: Convert to fraction form
    384,253.41/530,267.67 = 223,148.07/x
  3. Step 3: Cross multiply
    384,253.41x = 530,267.67 × 223,148.07
  4. Step 4: Simplify right side
    384,253.41x = 118,328,207,143.90
  5. Step 5: Solve for x
    x = 118,328,207,143.90/384,253.41
  6. Step 6: Final answer
    x = 307,943.15

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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.