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Finding the Fourth Proportional to 430,164.54, 593,774.73 and 260,398.71

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Solution

The fourth proportional to 430,164.54, 593,774.73 and 260,398.71 is: 359,439.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,164.54 : 593,774.73 = 260,398.71 : x
  2. Step 2: Convert to fraction form
    430,164.54/593,774.73 = 260,398.71/x
  3. Step 3: Cross multiply
    430,164.54x = 593,774.73 × 260,398.71
  4. Step 4: Simplify right side
    430,164.54x = 154,618,173,722.60
  5. Step 5: Solve for x
    x = 154,618,173,722.60/430,164.54
  6. Step 6: Final answer
    x = 359,439.61

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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.