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Finding the Fourth Proportional to 1,023,914.10, 1,538,823.60 and 894,006.30

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Solution

The fourth proportional to 1,023,914.10, 1,538,823.60 and 894,006.30 is: 1,343,587.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,023,914.10 : 1,538,823.60 = 894,006.30 : x
  2. Step 2: Convert to fraction form
    1,023,914.10/1,538,823.60 = 894,006.30/x
  3. Step 3: Cross multiply
    1,023,914.10x = 1,538,823.60 × 894,006.30
  4. Step 4: Simplify right side
    1,023,914.10x = 1,375,717,992,988.68
  5. Step 5: Solve for x
    x = 1,375,717,992,988.68/1,023,914.10
  6. Step 6: Final answer
    x = 1,343,587.31

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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.