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Finding the Fourth Proportional to 562,214.73, 842,534.76 and 295,575.69

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Solution

The fourth proportional to 562,214.73, 842,534.76 and 295,575.69 is: 442,949.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,214.73 : 842,534.76 = 295,575.69 : x
  2. Step 2: Convert to fraction form
    562,214.73/842,534.76 = 295,575.69/x
  3. Step 3: Cross multiply
    562,214.73x = 842,534.76 × 295,575.69
  4. Step 4: Simplify right side
    562,214.73x = 249,032,793,035.98
  5. Step 5: Solve for x
    x = 249,032,793,035.98/562,214.73
  6. Step 6: Final answer
    x = 442,949.61

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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.