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Finding the Fourth Proportional to 566,665.47, 782,003.57 and 312,025.77

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Solution

The fourth proportional to 566,665.47, 782,003.57 and 312,025.77 is: 430,598.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,665.47 : 782,003.57 = 312,025.77 : x
  2. Step 2: Convert to fraction form
    566,665.47/782,003.57 = 312,025.77/x
  3. Step 3: Cross multiply
    566,665.47x = 782,003.57 × 312,025.77
  4. Step 4: Simplify right side
    566,665.47x = 244,005,264,511.87
  5. Step 5: Solve for x
    x = 244,005,264,511.87/566,665.47
  6. Step 6: Final answer
    x = 430,598.43

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1.5x scale

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.