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Finding the Fourth Proportional to 424,928.01, 586,378.40 and 233,904.09

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Solution

The fourth proportional to 424,928.01, 586,378.40 and 233,904.09 is: 322,775.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,928.01 : 586,378.40 = 233,904.09 : x
  2. Step 2: Convert to fraction form
    424,928.01/586,378.40 = 233,904.09/x
  3. Step 3: Cross multiply
    424,928.01x = 586,378.40 × 233,904.09
  4. Step 4: Simplify right side
    424,928.01x = 137,156,304,878.14
  5. Step 5: Solve for x
    x = 137,156,304,878.14/424,928.01
  6. Step 6: Final answer
    x = 322,775.39

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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.