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Finding the Fourth Proportional to 514,953.36, 772,643.25 and 278,017.41

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Solution

The fourth proportional to 514,953.36, 772,643.25 and 278,017.41 is: 417,141.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,953.36 : 772,643.25 = 278,017.41 : x
  2. Step 2: Convert to fraction form
    514,953.36/772,643.25 = 278,017.41/x
  3. Step 3: Cross multiply
    514,953.36x = 772,643.25 × 278,017.41
  4. Step 4: Simplify right side
    514,953.36x = 214,808,275,218.98
  5. Step 5: Solve for x
    x = 214,808,275,218.98/514,953.36
  6. Step 6: Final answer
    x = 417,141.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.