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Finding the Fourth Proportional to 416,009.60, 624,014.40 and 335,830.40

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Solution

The fourth proportional to 416,009.60, 624,014.40 and 335,830.40 is: 503,745.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,009.60 : 624,014.40 = 335,830.40 : x
  2. Step 2: Convert to fraction form
    416,009.60/624,014.40 = 335,830.40/x
  3. Step 3: Cross multiply
    416,009.60x = 624,014.40 × 335,830.40
  4. Step 4: Simplify right side
    416,009.60x = 209,563,005,557.76
  5. Step 5: Solve for x
    x = 209,563,005,557.76/416,009.60
  6. Step 6: Final answer
    x = 503,745.60

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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.