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Finding the Fourth Proportional to 409,402.59, 565,210.02 and 273,666.43

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Solution

The fourth proportional to 409,402.59, 565,210.02 and 273,666.43 is: 377,816.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,402.59 : 565,210.02 = 273,666.43 : x
  2. Step 2: Convert to fraction form
    409,402.59/565,210.02 = 273,666.43/x
  3. Step 3: Cross multiply
    409,402.59x = 565,210.02 × 273,666.43
  4. Step 4: Simplify right side
    409,402.59x = 154,679,008,373.63
  5. Step 5: Solve for x
    x = 154,679,008,373.63/409,402.59
  6. Step 6: Final answer
    x = 377,816.39

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.