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Finding the Fourth Proportional to 384,114.94, 530,113.80 and 212,063.74

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Solution

The fourth proportional to 384,114.94, 530,113.80 and 212,063.74 is: 292,667.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,114.94 : 530,113.80 = 212,063.74 : x
  2. Step 2: Convert to fraction form
    384,114.94/530,113.80 = 212,063.74/x
  3. Step 3: Cross multiply
    384,114.94x = 530,113.80 × 212,063.74
  4. Step 4: Simplify right side
    384,114.94x = 112,417,915,053.61
  5. Step 5: Solve for x
    x = 112,417,915,053.61/384,114.94
  6. Step 6: Final answer
    x = 292,667.39

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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.