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Finding the Fourth Proportional to 283,347.40, 424,632.30 and 230,859.40

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Solution

The fourth proportional to 283,347.40, 424,632.30 and 230,859.40 is: 345,972.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,347.40 : 424,632.30 = 230,859.40 : x
  2. Step 2: Convert to fraction form
    283,347.40/424,632.30 = 230,859.40/x
  3. Step 3: Cross multiply
    283,347.40x = 424,632.30 × 230,859.40
  4. Step 4: Simplify right side
    283,347.40x = 98,030,357,998.62
  5. Step 5: Solve for x
    x = 98,030,357,998.62/283,347.40
  6. Step 6: Final answer
    x = 345,972.32

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Why These Related Problems?

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