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Finding the Fourth Proportional to 389,013.64, 583,599.10 and 164,374.72

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Solution

The fourth proportional to 389,013.64, 583,599.10 and 164,374.72 is: 246,595.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,013.64 : 583,599.10 = 164,374.72 : x
  2. Step 2: Convert to fraction form
    389,013.64/583,599.10 = 164,374.72/x
  3. Step 3: Cross multiply
    389,013.64x = 583,599.10 × 164,374.72
  4. Step 4: Simplify right side
    389,013.64x = 95,928,938,654.75
  5. Step 5: Solve for x
    x = 95,928,938,654.75/389,013.64
  6. Step 6: Final answer
    x = 246,595.31

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.