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Finding the Fourth Proportional to 1,003,285, 1,384,081.14 and 595,404.01

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Solution

The fourth proportional to 1,003,285, 1,384,081.14 and 595,404.01 is: 821,389.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,003,285 : 1,384,081.14 = 595,404.01 : x
  2. Step 2: Convert to fraction form
    1,003,285/1,384,081.14 = 595,404.01/x
  3. Step 3: Cross multiply
    1,003,285x = 1,384,081.14 × 595,404.01
  4. Step 4: Simplify right side
    1,003,285x = 824,087,460,921.37
  5. Step 5: Solve for x
    x = 824,087,460,921.37/1,003,285
  6. Step 6: Final answer
    x = 821,389.20

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.