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Finding the Fourth Proportional to 384,088.32, 530,041.92 and 212,006.34

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Solution

The fourth proportional to 384,088.32, 530,041.92 and 212,006.34 is: 292,568.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    384,088.32 : 530,041.92 = 212,006.34 : x
  2. Step 2: Convert to fraction form
    384,088.32/530,041.92 = 212,006.34/x
  3. Step 3: Cross multiply
    384,088.32x = 530,041.92 × 212,006.34
  4. Step 4: Simplify right side
    384,088.32x = 112,372,247,505.77
  5. Step 5: Solve for x
    x = 112,372,247,505.77/384,088.32
  6. Step 6: Final answer
    x = 292,568.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.