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Finding the Fourth Proportional to 1,232,734.13, 1,849,516.46 and 776,795.96

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Solution

The fourth proportional to 1,232,734.13, 1,849,516.46 and 776,795.96 is: 1,165,455.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,232,734.13 : 1,849,516.46 = 776,795.96 : x
  2. Step 2: Convert to fraction form
    1,232,734.13/1,849,516.46 = 776,795.96/x
  3. Step 3: Cross multiply
    1,232,734.13x = 1,849,516.46 × 776,795.96
  4. Step 4: Simplify right side
    1,232,734.13x = 1,436,696,906,775.91
  5. Step 5: Solve for x
    x = 1,436,696,906,775.91/1,232,734.13
  6. Step 6: Final answer
    x = 1,165,455.61

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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.