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Finding the Fourth Proportional to 403,409.60, 605,114.40 and 277,438.40

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Solution

The fourth proportional to 403,409.60, 605,114.40 and 277,438.40 is: 416,157.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    403,409.60 : 605,114.40 = 277,438.40 : x
  2. Step 2: Convert to fraction form
    403,409.60/605,114.40 = 277,438.40/x
  3. Step 3: Cross multiply
    403,409.60x = 605,114.40 × 277,438.40
  4. Step 4: Simplify right side
    403,409.60x = 167,881,970,952.96
  5. Step 5: Solve for x
    x = 167,881,970,952.96/403,409.60
  6. Step 6: Final answer
    x = 416,157.60

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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.