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Finding the Fourth Proportional to 435,223.77, 600,454.84 and 284,408.25

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Solution

The fourth proportional to 435,223.77, 600,454.84 and 284,408.25 is: 392,382.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,223.77 : 600,454.84 = 284,408.25 : x
  2. Step 2: Convert to fraction form
    435,223.77/600,454.84 = 284,408.25/x
  3. Step 3: Cross multiply
    435,223.77x = 600,454.84 × 284,408.25
  4. Step 4: Simplify right side
    435,223.77x = 170,774,311,038.55
  5. Step 5: Solve for x
    x = 170,774,311,038.55/435,223.77
  6. Step 6: Final answer
    x = 392,382.77

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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.