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Finding the Fourth Proportional to 562,911.68, 776,791.32 and 308,264.24

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Solution

The fourth proportional to 562,911.68, 776,791.32 and 308,264.24 is: 425,389.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,911.68 : 776,791.32 = 308,264.24 : x
  2. Step 2: Convert to fraction form
    562,911.68/776,791.32 = 308,264.24/x
  3. Step 3: Cross multiply
    562,911.68x = 776,791.32 × 308,264.24
  4. Step 4: Simplify right side
    562,911.68x = 239,456,985,898.40
  5. Step 5: Solve for x
    x = 239,456,985,898.40/562,911.68
  6. Step 6: Final answer
    x = 425,389.98

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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.