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Finding the Fourth Proportional to 553,612, 763,984.57 and 298,963.19

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Solution

The fourth proportional to 553,612, 763,984.57 and 298,963.19 is: 412,569.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,612 : 763,984.57 = 298,963.19 : x
  2. Step 2: Convert to fraction form
    553,612/763,984.57 = 298,963.19/x
  3. Step 3: Cross multiply
    553,612x = 763,984.57 × 298,963.19
  4. Step 4: Simplify right side
    553,612x = 228,403,264,157.98
  5. Step 5: Solve for x
    x = 228,403,264,157.98/553,612
  6. Step 6: Final answer
    x = 412,569.21

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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.