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Finding the Fourth Proportional to 562,782.71, 776,634.25 and 304,653.83

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Solution

The fourth proportional to 562,782.71, 776,634.25 and 304,653.83 is: 420,419.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,782.71 : 776,634.25 = 304,653.83 : x
  2. Step 2: Convert to fraction form
    562,782.71/776,634.25 = 304,653.83/x
  3. Step 3: Cross multiply
    562,782.71x = 776,634.25 × 304,653.83
  4. Step 4: Simplify right side
    562,782.71x = 236,604,598,771.68
  5. Step 5: Solve for x
    x = 236,604,598,771.68/562,782.71
  6. Step 6: Final answer
    x = 420,419.10

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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.