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Finding the Fourth Proportional to 469,782.03, 648,290.21 and 265,829.24

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Solution

The fourth proportional to 469,782.03, 648,290.21 and 265,829.24 is: 366,839.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,782.03 : 648,290.21 = 265,829.24 : x
  2. Step 2: Convert to fraction form
    469,782.03/648,290.21 = 265,829.24/x
  3. Step 3: Cross multiply
    469,782.03x = 648,290.21 × 265,829.24
  4. Step 4: Simplify right side
    469,782.03x = 172,334,493,823.74
  5. Step 5: Solve for x
    x = 172,334,493,823.74/469,782.03
  6. Step 6: Final answer
    x = 366,839.26

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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.