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Finding the Fourth Proportional to 366,839.20, 549,602.70 and 314,351.20

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Solution

The fourth proportional to 366,839.20, 549,602.70 and 314,351.20 is: 470,964.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,839.20 : 549,602.70 = 314,351.20 : x
  2. Step 2: Convert to fraction form
    366,839.20/549,602.70 = 314,351.20/x
  3. Step 3: Cross multiply
    366,839.20x = 549,602.70 × 314,351.20
  4. Step 4: Simplify right side
    366,839.20x = 172,768,268,268.24
  5. Step 5: Solve for x
    x = 172,768,268,268.24/366,839.20
  6. Step 6: Final answer
    x = 470,964.58

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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.