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Finding the Fourth Proportional to 786,289, 1,085,079.54 and 428,593

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Solution

The fourth proportional to 786,289, 1,085,079.54 and 428,593 is: 591,458.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,289 : 1,085,079.54 = 428,593 : x
  2. Step 2: Convert to fraction form
    786,289/1,085,079.54 = 428,593/x
  3. Step 3: Cross multiply
    786,289x = 1,085,079.54 × 428,593
  4. Step 4: Simplify right side
    786,289x = 465,057,495,287.22
  5. Step 5: Solve for x
    x = 465,057,495,287.22/786,289
  6. Step 6: Final answer
    x = 591,458.73

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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.