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Finding the Fourth Proportional to 423,902.64, 584,985.52 and 232,928.40

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Solution

The fourth proportional to 423,902.64, 584,985.52 and 232,928.40 is: 321,441.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,902.64 : 584,985.52 = 232,928.40 : x
  2. Step 2: Convert to fraction form
    423,902.64/584,985.52 = 232,928.40/x
  3. Step 3: Cross multiply
    423,902.64x = 584,985.52 × 232,928.40
  4. Step 4: Simplify right side
    423,902.64x = 136,259,741,196.77
  5. Step 5: Solve for x
    x = 136,259,741,196.77/423,902.64
  6. Step 6: Final answer
    x = 321,441.12

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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.