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Finding the Fourth Proportional to 524,043.29, 786,021.05 and 144,968.69

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Solution

The fourth proportional to 524,043.29, 786,021.05 and 144,968.69 is: 217,440.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,043.29 : 786,021.05 = 144,968.69 : x
  2. Step 2: Convert to fraction form
    524,043.29/786,021.05 = 144,968.69/x
  3. Step 3: Cross multiply
    524,043.29x = 786,021.05 × 144,968.69
  4. Step 4: Simplify right side
    524,043.29x = 113,948,437,275.98
  5. Step 5: Solve for x
    x = 113,948,437,275.98/524,043.29
  6. Step 6: Final answer
    x = 217,440.89

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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.