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Finding the Fourth Proportional to 368,047.74, 507,892.82 and 204,703.40

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Solution

The fourth proportional to 368,047.74, 507,892.82 and 204,703.40 is: 282,483.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    368,047.74 : 507,892.82 = 204,703.40 : x
  2. Step 2: Convert to fraction form
    368,047.74/507,892.82 = 204,703.40/x
  3. Step 3: Cross multiply
    368,047.74x = 507,892.82 × 204,703.40
  4. Step 4: Simplify right side
    368,047.74x = 103,967,387,089.59
  5. Step 5: Solve for x
    x = 103,967,387,089.59/368,047.74
  6. Step 6: Final answer
    x = 282,483.43

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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.