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Finding the Fourth Proportional to 286,315.23, 428,911.05 and 233,064.48

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Solution

The fourth proportional to 286,315.23, 428,911.05 and 233,064.48 is: 349,139.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,315.23 : 428,911.05 = 233,064.48 : x
  2. Step 2: Convert to fraction form
    286,315.23/428,911.05 = 233,064.48/x
  3. Step 3: Cross multiply
    286,315.23x = 428,911.05 × 233,064.48
  4. Step 4: Simplify right side
    286,315.23x = 99,963,930,834.50
  5. Step 5: Solve for x
    x = 99,963,930,834.50/286,315.23
  6. Step 6: Final answer
    x = 349,139.41

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