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Finding the Fourth Proportional to 517,217.04, 713,768.22 and 287,792.64

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Solution

The fourth proportional to 517,217.04, 713,768.22 and 287,792.64 is: 397,158.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,217.04 : 713,768.22 = 287,792.64 : x
  2. Step 2: Convert to fraction form
    517,217.04/713,768.22 = 287,792.64/x
  3. Step 3: Cross multiply
    517,217.04x = 713,768.22 × 287,792.64
  4. Step 4: Simplify right side
    517,217.04x = 205,417,240,381.90
  5. Step 5: Solve for x
    x = 205,417,240,381.90/517,217.04
  6. Step 6: Final answer
    x = 397,158.69

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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.