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Finding the Fourth Proportional to 476,437.06, 713,721.27 and 276,337.06

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Solution

The fourth proportional to 476,437.06, 713,721.27 and 276,337.06 is: 413,963.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,437.06 : 713,721.27 = 276,337.06 : x
  2. Step 2: Convert to fraction form
    476,437.06/713,721.27 = 276,337.06/x
  3. Step 3: Cross multiply
    476,437.06x = 713,721.27 × 276,337.06
  4. Step 4: Simplify right side
    476,437.06x = 197,227,637,411.27
  5. Step 5: Solve for x
    x = 197,227,637,411.27/476,437.06
  6. Step 6: Final answer
    x = 413,963.68

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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.