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Finding the Fourth Proportional to 506,129.86, 759,405.80 and 222,024.32

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Solution

The fourth proportional to 506,129.86, 759,405.80 and 222,024.32 is: 333,129.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,129.86 : 759,405.80 = 222,024.32 : x
  2. Step 2: Convert to fraction form
    506,129.86/759,405.80 = 222,024.32/x
  3. Step 3: Cross multiply
    506,129.86x = 759,405.80 × 222,024.32
  4. Step 4: Simplify right side
    506,129.86x = 168,606,556,349.06
  5. Step 5: Solve for x
    x = 168,606,556,349.06/506,129.86
  6. Step 6: Final answer
    x = 333,129.04

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.