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Finding the Fourth Proportional to 1,728,509.40, 2,592,764.10 and 1,429,327.80

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Solution

The fourth proportional to 1,728,509.40, 2,592,764.10 and 1,429,327.80 is: 2,143,991.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,728,509.40 : 2,592,764.10 = 1,429,327.80 : x
  2. Step 2: Convert to fraction form
    1,728,509.40/2,592,764.10 = 1,429,327.80/x
  3. Step 3: Cross multiply
    1,728,509.40x = 2,592,764.10 × 1,429,327.80
  4. Step 4: Simplify right side
    1,728,509.40x = 3,705,909,806,971.98
  5. Step 5: Solve for x
    x = 3,705,909,806,971.98/1,728,509.40
  6. Step 6: Final answer
    x = 2,143,991.70

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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.