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Finding the Fourth Proportional to 474,127.66, 709,441.87 and 284,703.38

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Solution

The fourth proportional to 474,127.66, 709,441.87 and 284,703.38 is: 426,004.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    474,127.66 : 709,441.87 = 284,703.38 : x
  2. Step 2: Convert to fraction form
    474,127.66/709,441.87 = 284,703.38/x
  3. Step 3: Cross multiply
    474,127.66x = 709,441.87 × 284,703.38
  4. Step 4: Simplify right side
    474,127.66x = 201,980,498,302.52
  5. Step 5: Solve for x
    x = 201,980,498,302.52/474,127.66
  6. Step 6: Final answer
    x = 426,004.47

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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.