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Finding the Fourth Proportional to 1,412,476.07, 1,949,239.16 and 767,898.72

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Solution

The fourth proportional to 1,412,476.07, 1,949,239.16 and 767,898.72 is: 1,059,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,412,476.07 : 1,949,239.16 = 767,898.72 : x
  2. Step 2: Convert to fraction form
    1,412,476.07/1,949,239.16 = 767,898.72/x
  3. Step 3: Cross multiply
    1,412,476.07x = 1,949,239.16 × 767,898.72
  4. Step 4: Simplify right side
    1,412,476.07x = 1,496,818,252,098.38
  5. Step 5: Solve for x
    x = 1,496,818,252,098.38/1,412,476.07
  6. Step 6: Final answer
    x = 1,059,712.29

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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.