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Finding the Fourth Proportional to 1,569,106.65, 2,353,659.98 and 771,945.15

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Solution

The fourth proportional to 1,569,106.65, 2,353,659.98 and 771,945.15 is: 1,157,917.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,106.65 : 2,353,659.98 = 771,945.15 : x
  2. Step 2: Convert to fraction form
    1,569,106.65/2,353,659.98 = 771,945.15/x
  3. Step 3: Cross multiply
    1,569,106.65x = 2,353,659.98 × 771,945.15
  4. Step 4: Simplify right side
    1,569,106.65x = 1,816,896,402,450.37
  5. Step 5: Solve for x
    x = 1,816,896,402,450.37/1,569,106.65
  6. Step 6: Final answer
    x = 1,157,917.73

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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.