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Finding the Fourth Proportional to 416,490.63, 624,263.66 and 191,385.93

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Solution

The fourth proportional to 416,490.63, 624,263.66 and 191,385.93 is: 286,861.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,490.63 : 624,263.66 = 191,385.93 : x
  2. Step 2: Convert to fraction form
    416,490.63/624,263.66 = 191,385.93/x
  3. Step 3: Cross multiply
    416,490.63x = 624,263.66 × 191,385.93
  4. Step 4: Simplify right side
    416,490.63x = 119,475,281,134.30
  5. Step 5: Solve for x
    x = 119,475,281,134.30/416,490.63
  6. Step 6: Final answer
    x = 286,861.87

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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.