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Finding the Fourth Proportional to 405,208.60, 559,209.40 and 233,152.71

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Solution

The fourth proportional to 405,208.60, 559,209.40 and 233,152.71 is: 321,763.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,208.60 : 559,209.40 = 233,152.71 : x
  2. Step 2: Convert to fraction form
    405,208.60/559,209.40 = 233,152.71/x
  3. Step 3: Cross multiply
    405,208.60x = 559,209.40 × 233,152.71
  4. Step 4: Simplify right side
    405,208.60x = 130,381,186,435.50
  5. Step 5: Solve for x
    x = 130,381,186,435.50/405,208.60
  6. Step 6: Final answer
    x = 321,763.12

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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.