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Finding the Fourth Proportional to 562,106.82, 775,960.72 and 358,431.50

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Solution

The fourth proportional to 562,106.82, 775,960.72 and 358,431.50 is: 494,796.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,106.82 : 775,960.72 = 358,431.50 : x
  2. Step 2: Convert to fraction form
    562,106.82/775,960.72 = 358,431.50/x
  3. Step 3: Cross multiply
    562,106.82x = 775,960.72 × 358,431.50
  4. Step 4: Simplify right side
    562,106.82x = 278,128,764,810.68
  5. Step 5: Solve for x
    x = 278,128,764,810.68/562,106.82
  6. Step 6: Final answer
    x = 494,796.99

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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.