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Finding the Fourth Proportional to 535,024.59, 738,314.14 and 290,004.08

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Solution

The fourth proportional to 535,024.59, 738,314.14 and 290,004.08 is: 400,194.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,024.59 : 738,314.14 = 290,004.08 : x
  2. Step 2: Convert to fraction form
    535,024.59/738,314.14 = 290,004.08/x
  3. Step 3: Cross multiply
    535,024.59x = 738,314.14 × 290,004.08
  4. Step 4: Simplify right side
    535,024.59x = 214,114,112,921.69
  5. Step 5: Solve for x
    x = 214,114,112,921.69/535,024.59
  6. Step 6: Final answer
    x = 400,194.90

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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.