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Finding the Fourth Proportional to 562,533.54, 776,314.85 and 307,884.66

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Solution

The fourth proportional to 562,533.54, 776,314.85 and 307,884.66 is: 424,890.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    562,533.54 : 776,314.85 = 307,884.66 : x
  2. Step 2: Convert to fraction form
    562,533.54/776,314.85 = 307,884.66/x
  3. Step 3: Cross multiply
    562,533.54x = 776,314.85 × 307,884.66
  4. Step 4: Simplify right side
    562,533.54x = 239,015,432,105.78
  5. Step 5: Solve for x
    x = 239,015,432,105.78/562,533.54
  6. Step 6: Final answer
    x = 424,890.99

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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.