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Finding the Fourth Proportional to 413,797.20, 570,978.90 and 239,362.08

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Solution

The fourth proportional to 413,797.20, 570,978.90 and 239,362.08 is: 330,284.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,797.20 : 570,978.90 = 239,362.08 : x
  2. Step 2: Convert to fraction form
    413,797.20/570,978.90 = 239,362.08/x
  3. Step 3: Cross multiply
    413,797.20x = 570,978.90 × 239,362.08
  4. Step 4: Simplify right side
    413,797.20x = 136,670,697,140.11
  5. Step 5: Solve for x
    x = 136,670,697,140.11/413,797.20
  6. Step 6: Final answer
    x = 330,284.25

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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.