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Finding the Fourth Proportional to 514,524.32, 768,284.04 and 454,048.16

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Solution

The fourth proportional to 514,524.32, 768,284.04 and 454,048.16 is: 677,981.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,524.32 : 768,284.04 = 454,048.16 : x
  2. Step 2: Convert to fraction form
    514,524.32/768,284.04 = 454,048.16/x
  3. Step 3: Cross multiply
    514,524.32x = 768,284.04 × 454,048.16
  4. Step 4: Simplify right side
    514,524.32x = 348,837,954,719.37
  5. Step 5: Solve for x
    x = 348,837,954,719.37/514,524.32
  6. Step 6: Final answer
    x = 677,981.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.