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Finding the Fourth Proportional to 523,474.92, 785,603.16 and 388,849.82

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Solution

The fourth proportional to 523,474.92, 785,603.16 and 388,849.82 is: 583,565.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,474.92 : 785,603.16 = 388,849.82 : x
  2. Step 2: Convert to fraction form
    523,474.92/785,603.16 = 388,849.82/x
  3. Step 3: Cross multiply
    523,474.92x = 785,603.16 × 388,849.82
  4. Step 4: Simplify right side
    523,474.92x = 305,481,643,429.42
  5. Step 5: Solve for x
    x = 305,481,643,429.42/523,474.92
  6. Step 6: Final answer
    x = 583,565.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.