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Finding the Fourth Proportional to 562,913.86, 776,815.30 and 304,786.38

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Solution

The fourth proportional to 562,913.86, 776,815.30 and 304,786.38 is: 420,602.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,913.86 : 776,815.30 = 304,786.38 : x
  2. Step 2: Convert to fraction form
    562,913.86/776,815.30 = 304,786.38/x
  3. Step 3: Cross multiply
    562,913.86x = 776,815.30 × 304,786.38
  4. Step 4: Simplify right side
    562,913.86x = 236,762,723,215.61
  5. Step 5: Solve for x
    x = 236,762,723,215.61/562,913.86
  6. Step 6: Final answer
    x = 420,602.05

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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.