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Finding the Fourth Proportional to 402,278.43, 603,666.81 and 233,878.02

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Solution

The fourth proportional to 402,278.43, 603,666.81 and 233,878.02 is: 350,961.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,278.43 : 603,666.81 = 233,878.02 : x
  2. Step 2: Convert to fraction form
    402,278.43/603,666.81 = 233,878.02/x
  3. Step 3: Cross multiply
    402,278.43x = 603,666.81 × 233,878.02
  4. Step 4: Simplify right side
    402,278.43x = 141,184,398,262.52
  5. Step 5: Solve for x
    x = 141,184,398,262.52/402,278.43
  6. Step 6: Final answer
    x = 350,961.89

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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.