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Finding the Fourth Proportional to 501,908.70, 692,329.65 and 297,825.12

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Solution

The fourth proportional to 501,908.70, 692,329.65 and 297,825.12 is: 410,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,908.70 : 692,329.65 = 297,825.12 : x
  2. Step 2: Convert to fraction form
    501,908.70/692,329.65 = 297,825.12/x
  3. Step 3: Cross multiply
    501,908.70x = 692,329.65 × 297,825.12
  4. Step 4: Simplify right side
    501,908.70x = 206,193,161,090.81
  5. Step 5: Solve for x
    x = 206,193,161,090.81/501,908.70
  6. Step 6: Final answer
    x = 410,818.07

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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.