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Finding the Fourth Proportional to 369,167.34, 509,461.50 and 208,013.52

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Solution

The fourth proportional to 369,167.34, 509,461.50 and 208,013.52 is: 287,064.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,167.34 : 509,461.50 = 208,013.52 : x
  2. Step 2: Convert to fraction form
    369,167.34/509,461.50 = 208,013.52/x
  3. Step 3: Cross multiply
    369,167.34x = 509,461.50 × 208,013.52
  4. Step 4: Simplify right side
    369,167.34x = 105,974,879,919.48
  5. Step 5: Solve for x
    x = 105,974,879,919.48/369,167.34
  6. Step 6: Final answer
    x = 287,064.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.