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Finding the Fourth Proportional to 562,345.48, 776,035.92 and 307,696.60

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Solution

The fourth proportional to 562,345.48, 776,035.92 and 307,696.60 is: 424,620.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,345.48 : 776,035.92 = 307,696.60 : x
  2. Step 2: Convert to fraction form
    562,345.48/776,035.92 = 307,696.60/x
  3. Step 3: Cross multiply
    562,345.48x = 776,035.92 × 307,696.60
  4. Step 4: Simplify right side
    562,345.48x = 238,783,614,061.87
  5. Step 5: Solve for x
    x = 238,783,614,061.87/562,345.48
  6. Step 6: Final answer
    x = 424,620.85

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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.