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Finding the Fourth Proportional to 509,286.16, 760,190.90 and 471,754

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Solution

The fourth proportional to 509,286.16, 760,190.90 and 471,754 is: 704,168.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,286.16 : 760,190.90 = 471,754 : x
  2. Step 2: Convert to fraction form
    509,286.16/760,190.90 = 471,754/x
  3. Step 3: Cross multiply
    509,286.16x = 760,190.90 × 471,754
  4. Step 4: Simplify right side
    509,286.16x = 358,623,097,838.60
  5. Step 5: Solve for x
    x = 358,623,097,838.60/509,286.16
  6. Step 6: Final answer
    x = 704,168.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.