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Finding the Fourth Proportional to 468,401.16, 646,406.14 and 284,577.16

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Solution

The fourth proportional to 468,401.16, 646,406.14 and 284,577.16 is: 392,724.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,401.16 : 646,406.14 = 284,577.16 : x
  2. Step 2: Convert to fraction form
    468,401.16/646,406.14 = 284,577.16/x
  3. Step 3: Cross multiply
    468,401.16x = 646,406.14 × 284,577.16
  4. Step 4: Simplify right side
    468,401.16x = 183,952,423,527.76
  5. Step 5: Solve for x
    x = 183,952,423,527.76/468,401.16
  6. Step 6: Final answer
    x = 392,724.10

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.