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Finding the Fourth Proportional to 301,109.50, 414,488.02 and 260,254.85

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Solution

The fourth proportional to 301,109.50, 414,488.02 and 260,254.85 is: 358,250.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,109.50 : 414,488.02 = 260,254.85 : x
  2. Step 2: Convert to fraction form
    301,109.50/414,488.02 = 260,254.85/x
  3. Step 3: Cross multiply
    301,109.50x = 414,488.02 × 260,254.85
  4. Step 4: Simplify right side
    301,109.50x = 107,872,516,170.62
  5. Step 5: Solve for x
    x = 107,872,516,170.62/301,109.50
  6. Step 6: Final answer
    x = 358,250.13

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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.