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Finding the Fourth Proportional to 524,034.35, 785,907.52 and 144,865.07

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Solution

The fourth proportional to 524,034.35, 785,907.52 and 144,865.07 is: 217,257.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,034.35 : 785,907.52 = 144,865.07 : x
  2. Step 2: Convert to fraction form
    524,034.35/785,907.52 = 144,865.07/x
  3. Step 3: Cross multiply
    524,034.35x = 785,907.52 × 144,865.07
  4. Step 4: Simplify right side
    524,034.35x = 113,850,547,898.33
  5. Step 5: Solve for x
    x = 113,850,547,898.33/524,034.35
  6. Step 6: Final answer
    x = 217,257.80

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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.