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Finding the Fourth Proportional to 562,159.90, 842,255.70 and 461,776.60

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Solution

The fourth proportional to 562,159.90, 842,255.70 and 461,776.60 is: 691,856.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,159.90 : 842,255.70 = 461,776.60 : x
  2. Step 2: Convert to fraction form
    562,159.90/842,255.70 = 461,776.60/x
  3. Step 3: Cross multiply
    562,159.90x = 842,255.70 × 461,776.60
  4. Step 4: Simplify right side
    562,159.90x = 388,933,973,476.62
  5. Step 5: Solve for x
    x = 388,933,973,476.62/562,159.90
  6. Step 6: Final answer
    x = 691,856.49

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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.