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Finding the Fourth Proportional to 416,489.63, 624,262.16 and 191,384.93

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Solution

The fourth proportional to 416,489.63, 624,262.16 and 191,384.93 is: 286,860.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,489.63 : 624,262.16 = 191,384.93 : x
  2. Step 2: Convert to fraction form
    416,489.63/624,262.16 = 191,384.93/x
  3. Step 3: Cross multiply
    416,489.63x = 624,262.16 × 191,384.93
  4. Step 4: Simplify right side
    416,489.63x = 119,474,371,832.37
  5. Step 5: Solve for x
    x = 119,474,371,832.37/416,489.63
  6. Step 6: Final answer
    x = 286,860.38

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1.5x scale

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.