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Finding the Fourth Proportional to 708,901.26, 978,244.74 and 402,935.10

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Solution

The fourth proportional to 708,901.26, 978,244.74 and 402,935.10 is: 556,028.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    708,901.26 : 978,244.74 = 402,935.10 : x
  2. Step 2: Convert to fraction form
    708,901.26/978,244.74 = 402,935.10/x
  3. Step 3: Cross multiply
    708,901.26x = 978,244.74 × 402,935.10
  4. Step 4: Simplify right side
    708,901.26x = 394,169,142,136.37
  5. Step 5: Solve for x
    x = 394,169,142,136.37/708,901.26
  6. Step 6: Final answer
    x = 556,028.27

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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.