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Finding the Fourth Proportional to 409,323.60, 613,985.40 and 128,840.85

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Solution

The fourth proportional to 409,323.60, 613,985.40 and 128,840.85 is: 193,261.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,323.60 : 613,985.40 = 128,840.85 : x
  2. Step 2: Convert to fraction form
    409,323.60/613,985.40 = 128,840.85/x
  3. Step 3: Cross multiply
    409,323.60x = 613,985.40 × 128,840.85
  4. Step 4: Simplify right side
    409,323.60x = 79,106,400,823.59
  5. Step 5: Solve for x
    x = 79,106,400,823.59/409,323.60
  6. Step 6: Final answer
    x = 193,261.28

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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.