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Finding the Fourth Proportional to 283,303.80, 424,955.67 and 96,315.30

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Solution

The fourth proportional to 283,303.80, 424,955.67 and 96,315.30 is: 144,472.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,303.80 : 424,955.67 = 96,315.30 : x
  2. Step 2: Convert to fraction form
    283,303.80/424,955.67 = 96,315.30/x
  3. Step 3: Cross multiply
    283,303.80x = 424,955.67 × 96,315.30
  4. Step 4: Simplify right side
    283,303.80x = 40,929,732,842.75
  5. Step 5: Solve for x
    x = 40,929,732,842.75/283,303.80
  6. Step 6: Final answer
    x = 144,472.94

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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.