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Finding the Fourth Proportional to 301,115.40, 414,496.05 and 260,260.80

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Solution

The fourth proportional to 301,115.40, 414,496.05 and 260,260.80 is: 358,258.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,115.40 : 414,496.05 = 260,260.80 : x
  2. Step 2: Convert to fraction form
    301,115.40/414,496.05 = 260,260.80/x
  3. Step 3: Cross multiply
    301,115.40x = 414,496.05 × 260,260.80
  4. Step 4: Simplify right side
    301,115.40x = 107,877,073,569.84
  5. Step 5: Solve for x
    x = 107,877,073,569.84/301,115.40
  6. Step 6: Final answer
    x = 358,258.24

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.