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Finding the Fourth Proportional to 301,114.32, 414,494.72 and 260,259.84

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Solution

The fourth proportional to 301,114.32, 414,494.72 and 260,259.84 is: 358,257.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,114.32 : 414,494.72 = 260,259.84 : x
  2. Step 2: Convert to fraction form
    301,114.32/414,494.72 = 260,259.84/x
  3. Step 3: Cross multiply
    301,114.32x = 414,494.72 × 260,259.84
  4. Step 4: Simplify right side
    301,114.32x = 107,876,329,508.05
  5. Step 5: Solve for x
    x = 107,876,329,508.05/301,114.32
  6. Step 6: Final answer
    x = 358,257.06

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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.