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Finding the Fourth Proportional to 522,460, 783,034.08 and 282,564.34

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Solution

The fourth proportional to 522,460, 783,034.08 and 282,564.34 is: 423,491.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    522,460 : 783,034.08 = 282,564.34 : x
  2. Step 2: Convert to fraction form
    522,460/783,034.08 = 282,564.34/x
  3. Step 3: Cross multiply
    522,460x = 783,034.08 × 282,564.34
  4. Step 4: Simplify right side
    522,460x = 221,257,508,012.71
  5. Step 5: Solve for x
    x = 221,257,508,012.71/522,460
  6. Step 6: Final answer
    x = 423,491.77

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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.