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Finding the Fourth Proportional to 423,083.80, 583,870.81 and 232,102.81

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Solution

The fourth proportional to 423,083.80, 583,870.81 and 232,102.81 is: 320,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,083.80 : 583,870.81 = 232,102.81 : x
  2. Step 2: Convert to fraction form
    423,083.80/583,870.81 = 232,102.81/x
  3. Step 3: Cross multiply
    423,083.80x = 583,870.81 × 232,102.81
  4. Step 4: Simplify right side
    423,083.80x = 135,518,053,638.04
  5. Step 5: Solve for x
    x = 135,518,053,638.04/423,083.80
  6. Step 6: Final answer
    x = 320,310.19

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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.