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Finding the Fourth Proportional to 422,988.90, 583,762.14 and 232,039.50

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Solution

The fourth proportional to 422,988.90, 583,762.14 and 232,039.50 is: 320,235.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,988.90 : 583,762.14 = 232,039.50 : x
  2. Step 2: Convert to fraction form
    422,988.90/583,762.14 = 232,039.50/x
  3. Step 3: Cross multiply
    422,988.90x = 583,762.14 × 232,039.50
  4. Step 4: Simplify right side
    422,988.90x = 135,455,875,084.53
  5. Step 5: Solve for x
    x = 135,455,875,084.53/422,988.90
  6. Step 6: Final answer
    x = 320,235.06

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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.