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Finding the Fourth Proportional to 563,464.22, 845,184.04 and 137,002.32

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Solution

The fourth proportional to 563,464.22, 845,184.04 and 137,002.32 is: 205,500.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    563,464.22 : 845,184.04 = 137,002.32 : x
  2. Step 2: Convert to fraction form
    563,464.22/845,184.04 = 137,002.32/x
  3. Step 3: Cross multiply
    563,464.22x = 845,184.04 × 137,002.32
  4. Step 4: Simplify right side
    563,464.22x = 115,792,173,964.47
  5. Step 5: Solve for x
    x = 115,792,173,964.47/563,464.22
  6. Step 6: Final answer
    x = 205,500.49

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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.