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Finding the Fourth Proportional to 595,374.30, 821,597.58 and 340,720.02

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Solution

The fourth proportional to 595,374.30, 821,597.58 and 340,720.02 is: 470,182.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,374.30 : 821,597.58 = 340,720.02 : x
  2. Step 2: Convert to fraction form
    595,374.30/821,597.58 = 340,720.02/x
  3. Step 3: Cross multiply
    595,374.30x = 821,597.58 × 340,720.02
  4. Step 4: Simplify right side
    595,374.30x = 279,934,743,889.55
  5. Step 5: Solve for x
    x = 279,934,743,889.55/595,374.30
  6. Step 6: Final answer
    x = 470,182.78

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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.