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Finding the Fourth Proportional to 1,157,904.84, 1,736,861.48 and 819,923.16

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Solution

The fourth proportional to 1,157,904.84, 1,736,861.48 and 819,923.16 is: 1,229,887.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,157,904.84 : 1,736,861.48 = 819,923.16 : x
  2. Step 2: Convert to fraction form
    1,157,904.84/1,736,861.48 = 819,923.16/x
  3. Step 3: Cross multiply
    1,157,904.84x = 1,736,861.48 × 819,923.16
  4. Step 4: Simplify right side
    1,157,904.84x = 1,424,092,953,163.88
  5. Step 5: Solve for x
    x = 1,424,092,953,163.88/1,157,904.84
  6. Step 6: Final answer
    x = 1,229,887.73

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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.