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Finding the Fourth Proportional to 423,242.34, 584,083.35 and 232,254.06

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Solution

The fourth proportional to 423,242.34, 584,083.35 and 232,254.06 is: 320,515.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,242.34 : 584,083.35 = 232,254.06 : x
  2. Step 2: Convert to fraction form
    423,242.34/584,083.35 = 232,254.06/x
  3. Step 3: Cross multiply
    423,242.34x = 584,083.35 × 232,254.06
  4. Step 4: Simplify right side
    423,242.34x = 135,655,729,415.90
  5. Step 5: Solve for x
    x = 135,655,729,415.90/423,242.34
  6. Step 6: Final answer
    x = 320,515.50

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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.