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Finding the Fourth Proportional to 405,209.60, 559,210.78 and 233,153.71

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Solution

The fourth proportional to 405,209.60, 559,210.78 and 233,153.71 is: 321,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,209.60 : 559,210.78 = 233,153.71 : x
  2. Step 2: Convert to fraction form
    405,209.60/559,210.78 = 233,153.71/x
  3. Step 3: Cross multiply
    405,209.60x = 559,210.78 × 233,153.71
  4. Step 4: Simplify right side
    405,209.60x = 130,382,068,028.99
  5. Step 5: Solve for x
    x = 130,382,068,028.99/405,209.60
  6. Step 6: Final answer
    x = 321,764.51

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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.