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Finding the Fourth Proportional to 622,951.37, 933,069.84 and 409,478.30

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Solution

The fourth proportional to 622,951.37, 933,069.84 and 409,478.30 is: 613,325.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,951.37 : 933,069.84 = 409,478.30 : x
  2. Step 2: Convert to fraction form
    622,951.37/933,069.84 = 409,478.30/x
  3. Step 3: Cross multiply
    622,951.37x = 933,069.84 × 409,478.30
  4. Step 4: Simplify right side
    622,951.37x = 382,071,851,864.47
  5. Step 5: Solve for x
    x = 382,071,851,864.47/622,951.37
  6. Step 6: Final answer
    x = 613,325.33

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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.