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Finding the Fourth Proportional to 517,811.37, 714,573.93 and 288,363.64

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Solution

The fourth proportional to 517,811.37, 714,573.93 and 288,363.64 is: 397,938.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,811.37 : 714,573.93 = 288,363.64 : x
  2. Step 2: Convert to fraction form
    517,811.37/714,573.93 = 288,363.64/x
  3. Step 3: Cross multiply
    517,811.37x = 714,573.93 × 288,363.64
  4. Step 4: Simplify right side
    517,811.37x = 206,057,139,503.91
  5. Step 5: Solve for x
    x = 206,057,139,503.91/517,811.37
  6. Step 6: Final answer
    x = 397,938.62

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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.