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Finding the Fourth Proportional to 416,005.80, 624,008.70 and 411,858.60

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Solution

The fourth proportional to 416,005.80, 624,008.70 and 411,858.60 is: 617,787.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,005.80 : 624,008.70 = 411,858.60 : x
  2. Step 2: Convert to fraction form
    416,005.80/624,008.70 = 411,858.60/x
  3. Step 3: Cross multiply
    416,005.80x = 624,008.70 × 411,858.60
  4. Step 4: Simplify right side
    416,005.80x = 257,003,349,569.82
  5. Step 5: Solve for x
    x = 257,003,349,569.82/416,005.80
  6. Step 6: Final answer
    x = 617,787.90

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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.