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Finding the Fourth Proportional to 562,078.22, 775,686.47 and 307,429.38

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Solution

The fourth proportional to 562,078.22, 775,686.47 and 307,429.38 is: 424,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,078.22 : 775,686.47 = 307,429.38 : x
  2. Step 2: Convert to fraction form
    562,078.22/775,686.47 = 307,429.38/x
  3. Step 3: Cross multiply
    562,078.22x = 775,686.47 × 307,429.38
  4. Step 4: Simplify right side
    562,078.22x = 238,468,809,009.34
  5. Step 5: Solve for x
    x = 238,468,809,009.34/562,078.22
  6. Step 6: Final answer
    x = 424,262.68

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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.