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Finding the Fourth Proportional to 423,690.14, 584,690.40 and 230,096.50

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Solution

The fourth proportional to 423,690.14, 584,690.40 and 230,096.50 is: 317,532.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,690.14 : 584,690.40 = 230,096.50 : x
  2. Step 2: Convert to fraction form
    423,690.14/584,690.40 = 230,096.50/x
  3. Step 3: Cross multiply
    423,690.14x = 584,690.40 × 230,096.50
  4. Step 4: Simplify right side
    423,690.14x = 134,535,213,161.87
  5. Step 5: Solve for x
    x = 134,535,213,161.87/423,690.14
  6. Step 6: Final answer
    x = 317,532.08

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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.