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Finding the Fourth Proportional to 403,492.80, 604,202.40 and 297,739.20

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Solution

The fourth proportional to 403,492.80, 604,202.40 and 297,739.20 is: 445,843.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,492.80 : 604,202.40 = 297,739.20 : x
  2. Step 2: Convert to fraction form
    403,492.80/604,202.40 = 297,739.20/x
  3. Step 3: Cross multiply
    403,492.80x = 604,202.40 × 297,739.20
  4. Step 4: Simplify right side
    403,492.80x = 179,894,739,214.08
  5. Step 5: Solve for x
    x = 179,894,739,214.08/403,492.80
  6. Step 6: Final answer
    x = 445,843.74

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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.