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Finding the Fourth Proportional to 522,491.77, 783,869.32 and 148,514.77

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Solution

The fourth proportional to 522,491.77, 783,869.32 and 148,514.77 is: 222,809.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,491.77 : 783,869.32 = 148,514.77 : x
  2. Step 2: Convert to fraction form
    522,491.77/783,869.32 = 148,514.77/x
  3. Step 3: Cross multiply
    522,491.77x = 783,869.32 × 148,514.77
  4. Step 4: Simplify right side
    522,491.77x = 116,416,168,943.77
  5. Step 5: Solve for x
    x = 116,416,168,943.77/522,491.77
  6. Step 6: Final answer
    x = 222,809.58

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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.