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Finding the Fourth Proportional to 559,420.43, 772,055.94 and 341,617.10

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Solution

The fourth proportional to 559,420.43, 772,055.94 and 341,617.10 is: 471,465.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,420.43 : 772,055.94 = 341,617.10 : x
  2. Step 2: Convert to fraction form
    559,420.43/772,055.94 = 341,617.10/x
  3. Step 3: Cross multiply
    559,420.43x = 772,055.94 × 341,617.10
  4. Step 4: Simplify right side
    559,420.43x = 263,747,511,260.57
  5. Step 5: Solve for x
    x = 263,747,511,260.57/559,420.43
  6. Step 6: Final answer
    x = 471,465.64

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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.