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Finding the Fourth Proportional to 517,213.06, 713,669.90 and 287,764.45

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Solution

The fourth proportional to 517,213.06, 713,669.90 and 287,764.45 is: 397,068.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,213.06 : 713,669.90 = 287,764.45 : x
  2. Step 2: Convert to fraction form
    517,213.06/713,669.90 = 287,764.45/x
  3. Step 3: Cross multiply
    517,213.06x = 713,669.90 × 287,764.45
  4. Step 4: Simplify right side
    517,213.06x = 205,368,826,255.06
  5. Step 5: Solve for x
    x = 205,368,826,255.06/517,213.06
  6. Step 6: Final answer
    x = 397,068.14

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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.