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Finding the Fourth Proportional to 389,597.34, 583,953.06 and 164,817.48

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Solution

The fourth proportional to 389,597.34, 583,953.06 and 164,817.48 is: 247,038.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,597.34 : 583,953.06 = 164,817.48 : x
  2. Step 2: Convert to fraction form
    389,597.34/583,953.06 = 164,817.48/x
  3. Step 3: Cross multiply
    389,597.34x = 583,953.06 × 164,817.48
  4. Step 4: Simplify right side
    389,597.34x = 96,245,671,787.49
  5. Step 5: Solve for x
    x = 96,245,671,787.49/389,597.34
  6. Step 6: Final answer
    x = 247,038.83

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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.