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Finding the Fourth Proportional to 709,080.48, 978,491.00 and 403,114.32

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Solution

The fourth proportional to 709,080.48, 978,491.00 and 403,114.32 is: 556,274.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,080.48 : 978,491.00 = 403,114.32 : x
  2. Step 2: Convert to fraction form
    709,080.48/978,491.00 = 403,114.32/x
  3. Step 3: Cross multiply
    709,080.48x = 978,491.00 × 403,114.32
  4. Step 4: Simplify right side
    709,080.48x = 394,443,735,098.91
  5. Step 5: Solve for x
    x = 394,443,735,098.91/709,080.48
  6. Step 6: Final answer
    x = 556,274.99

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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.