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Finding the Fourth Proportional to 562,266.81, 842,059.49 and 359,224.17

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Solution

The fourth proportional to 562,266.81, 842,059.49 and 359,224.17 is: 537,979.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,266.81 : 842,059.49 = 359,224.17 : x
  2. Step 2: Convert to fraction form
    562,266.81/842,059.49 = 359,224.17/x
  3. Step 3: Cross multiply
    562,266.81x = 842,059.49 × 359,224.17
  4. Step 4: Simplify right side
    562,266.81x = 302,488,123,528.74
  5. Step 5: Solve for x
    x = 302,488,123,528.74/562,266.81
  6. Step 6: Final answer
    x = 537,979.69

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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.