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Finding the Fourth Proportional to 1,509,843, 2,083,597.92 and 830,794.08

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Solution

The fourth proportional to 1,509,843, 2,083,597.92 and 830,794.08 is: 1,146,503.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,843 : 2,083,597.92 = 830,794.08 : x
  2. Step 2: Convert to fraction form
    1,509,843/2,083,597.92 = 830,794.08/x
  3. Step 3: Cross multiply
    1,509,843x = 2,083,597.92 × 830,794.08
  4. Step 4: Simplify right side
    1,509,843x = 1,731,040,817,036.31
  5. Step 5: Solve for x
    x = 1,731,040,817,036.31/1,509,843
  6. Step 6: Final answer
    x = 1,146,503.85

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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.