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Finding the Fourth Proportional to 301,806.20, 416,468.18 and 174,490.00

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Solution

The fourth proportional to 301,806.20, 416,468.18 and 174,490.00 is: 240,782.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,806.20 : 416,468.18 = 174,490.00 : x
  2. Step 2: Convert to fraction form
    301,806.20/416,468.18 = 174,490.00/x
  3. Step 3: Cross multiply
    301,806.20x = 416,468.18 × 174,490.00
  4. Step 4: Simplify right side
    301,806.20x = 72,669,532,123.25
  5. Step 5: Solve for x
    x = 72,669,532,123.25/301,806.20
  6. Step 6: Final answer
    x = 240,782.10

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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.