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Finding the Fourth Proportional to 659,471.80, 910,072.14 and 357,666.04

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Solution

The fourth proportional to 659,471.80, 910,072.14 and 357,666.04 is: 493,579.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,471.80 : 910,072.14 = 357,666.04 : x
  2. Step 2: Convert to fraction form
    659,471.80/910,072.14 = 357,666.04/x
  3. Step 3: Cross multiply
    659,471.80x = 910,072.14 × 357,666.04
  4. Step 4: Simplify right side
    659,471.80x = 325,501,898,428.13
  5. Step 5: Solve for x
    x = 325,501,898,428.13/659,471.80
  6. Step 6: Final answer
    x = 493,579.71

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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.