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Finding the Fourth Proportional to 1,684,964.80, 2,527,447.20 and 1,307,051.20

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Solution

The fourth proportional to 1,684,964.80, 2,527,447.20 and 1,307,051.20 is: 1,960,576.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,964.80 : 2,527,447.20 = 1,307,051.20 : x
  2. Step 2: Convert to fraction form
    1,684,964.80/2,527,447.20 = 1,307,051.20/x
  3. Step 3: Cross multiply
    1,684,964.80x = 2,527,447.20 × 1,307,051.20
  4. Step 4: Simplify right side
    1,684,964.80x = 3,303,502,895,696.64
  5. Step 5: Solve for x
    x = 3,303,502,895,696.64/1,684,964.80
  6. Step 6: Final answer
    x = 1,960,576.80

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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.