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Finding the Fourth Proportional to 360,802.66, 497,900.22 and 199,657.60

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Solution

The fourth proportional to 360,802.66, 497,900.22 and 199,657.60 is: 275,523.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,802.66 : 497,900.22 = 199,657.60 : x
  2. Step 2: Convert to fraction form
    360,802.66/497,900.22 = 199,657.60/x
  3. Step 3: Cross multiply
    360,802.66x = 497,900.22 × 199,657.60
  4. Step 4: Simplify right side
    360,802.66x = 99,409,562,964.67
  5. Step 5: Solve for x
    x = 99,409,562,964.67/360,802.66
  6. Step 6: Final answer
    x = 275,523.36

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1.5x scale

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.