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Finding the Fourth Proportional to 305,328.40, 457,985.40 and 83,712.40

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Solution

The fourth proportional to 305,328.40, 457,985.40 and 83,712.40 is: 125,566.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,328.40 : 457,985.40 = 83,712.40 : x
  2. Step 2: Convert to fraction form
    305,328.40/457,985.40 = 83,712.40/x
  3. Step 3: Cross multiply
    305,328.40x = 457,985.40 × 83,712.40
  4. Step 4: Simplify right side
    305,328.40x = 38,339,056,998.96
  5. Step 5: Solve for x
    x = 38,339,056,998.96/305,328.40
  6. Step 6: Final answer
    x = 125,566.63

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