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Finding the Fourth Proportional to 562,175.42, 841,911.90 and 321,559.88

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Solution

The fourth proportional to 562,175.42, 841,911.90 and 321,559.88 is: 481,566.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,175.42 : 841,911.90 = 321,559.88 : x
  2. Step 2: Convert to fraction form
    562,175.42/841,911.90 = 321,559.88/x
  3. Step 3: Cross multiply
    562,175.42x = 841,911.90 × 321,559.88
  4. Step 4: Simplify right side
    562,175.42x = 270,725,089,534.57
  5. Step 5: Solve for x
    x = 270,725,089,534.57/562,175.42
  6. Step 6: Final answer
    x = 481,566.93

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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.