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Finding the Fourth Proportional to 540,952.24, 811,894.92 and 208,761.52

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Solution

The fourth proportional to 540,952.24, 811,894.92 and 208,761.52 is: 313,322.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,952.24 : 811,894.92 = 208,761.52 : x
  2. Step 2: Convert to fraction form
    540,952.24/811,894.92 = 208,761.52/x
  3. Step 3: Cross multiply
    540,952.24x = 811,894.92 × 208,761.52
  4. Step 4: Simplify right side
    540,952.24x = 169,492,417,579.48
  5. Step 5: Solve for x
    x = 169,492,417,579.48/540,952.24
  6. Step 6: Final answer
    x = 313,322.33

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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.