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Finding the Fourth Proportional to 583,417, 875,125.50 and 140,185

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Solution

The fourth proportional to 583,417, 875,125.50 and 140,185 is: 210,277.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,417 : 875,125.50 = 140,185 : x
  2. Step 2: Convert to fraction form
    583,417/875,125.50 = 140,185/x
  3. Step 3: Cross multiply
    583,417x = 875,125.50 × 140,185
  4. Step 4: Simplify right side
    583,417x = 122,679,468,217.50
  5. Step 5: Solve for x
    x = 122,679,468,217.50/583,417
  6. Step 6: Final answer
    x = 210,277.50

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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.