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Finding the Fourth Proportional to 709,005.74, 978,510.64 and 403,127.96

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Solution

The fourth proportional to 709,005.74, 978,510.64 and 403,127.96 is: 556,363.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,005.74 : 978,510.64 = 403,127.96 : x
  2. Step 2: Convert to fraction form
    709,005.74/978,510.64 = 403,127.96/x
  3. Step 3: Cross multiply
    709,005.74x = 978,510.64 × 403,127.96
  4. Step 4: Simplify right side
    709,005.74x = 394,464,992,241.12
  5. Step 5: Solve for x
    x = 394,464,992,241.12/709,005.74
  6. Step 6: Final answer
    x = 556,363.61

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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.