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Finding the Fourth Proportional to 1,569,133.65, 2,353,700.48 and 771,972.15

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Solution

The fourth proportional to 1,569,133.65, 2,353,700.48 and 771,972.15 is: 1,157,958.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,569,133.65 : 2,353,700.48 = 771,972.15 : x
  2. Step 2: Convert to fraction form
    1,569,133.65/2,353,700.48 = 771,972.15/x
  3. Step 3: Cross multiply
    1,569,133.65x = 2,353,700.48 × 771,972.15
  4. Step 4: Simplify right side
    1,569,133.65x = 1,816,991,216,141.77
  5. Step 5: Solve for x
    x = 1,816,991,216,141.77/1,569,133.65
  6. Step 6: Final answer
    x = 1,157,958.23

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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.