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Finding the Fourth Proportional to 416,432.73, 624,661.85 and 142,875.09

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Solution

The fourth proportional to 416,432.73, 624,661.85 and 142,875.09 is: 214,317.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,432.73 : 624,661.85 = 142,875.09 : x
  2. Step 2: Convert to fraction form
    416,432.73/624,661.85 = 142,875.09/x
  3. Step 3: Cross multiply
    416,432.73x = 624,661.85 × 142,875.09
  4. Step 4: Simplify right side
    416,432.73x = 89,248,617,323.94
  5. Step 5: Solve for x
    x = 89,248,617,323.94/416,432.73
  6. Step 6: Final answer
    x = 214,317.01

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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.