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Finding the Fourth Proportional to 709,160.05, 978,599.64 and 403,192.27

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Solution

The fourth proportional to 709,160.05, 978,599.64 and 403,192.27 is: 556,381.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,160.05 : 978,599.64 = 403,192.27 : x
  2. Step 2: Convert to fraction form
    709,160.05/978,599.64 = 403,192.27/x
  3. Step 3: Cross multiply
    709,160.05x = 978,599.64 × 403,192.27
  4. Step 4: Simplify right side
    709,160.05x = 394,563,810,272.78
  5. Step 5: Solve for x
    x = 394,563,810,272.78/709,160.05
  6. Step 6: Final answer
    x = 556,381.89

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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.