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Finding the Fourth Proportional to 416,009.40, 624,014.10 and 166,870.20

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Solution

The fourth proportional to 416,009.40, 624,014.10 and 166,870.20 is: 250,305.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,009.40 : 624,014.10 = 166,870.20 : x
  2. Step 2: Convert to fraction form
    416,009.40/624,014.10 = 166,870.20/x
  3. Step 3: Cross multiply
    416,009.40x = 624,014.10 × 166,870.20
  4. Step 4: Simplify right side
    416,009.40x = 104,129,357,669.82
  5. Step 5: Solve for x
    x = 104,129,357,669.82/416,009.40
  6. Step 6: Final answer
    x = 250,305.30

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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.