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Finding the Fourth Proportional to 369,260.87, 509,580 and 199,494.99

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Solution

The fourth proportional to 369,260.87, 509,580 and 199,494.99 is: 275,303.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,260.87 : 509,580 = 199,494.99 : x
  2. Step 2: Convert to fraction form
    369,260.87/509,580 = 199,494.99/x
  3. Step 3: Cross multiply
    369,260.87x = 509,580 × 199,494.99
  4. Step 4: Simplify right side
    369,260.87x = 101,658,657,004.20
  5. Step 5: Solve for x
    x = 101,658,657,004.20/369,260.87
  6. Step 6: Final answer
    x = 275,303.09

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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.