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Finding the Fourth Proportional to 876,249, 1,209,223.68 and 473,841

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Solution

The fourth proportional to 876,249, 1,209,223.68 and 473,841 is: 653,900.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    876,249 : 1,209,223.68 = 473,841 : x
  2. Step 2: Convert to fraction form
    876,249/1,209,223.68 = 473,841/x
  3. Step 3: Cross multiply
    876,249x = 1,209,223.68 × 473,841
  4. Step 4: Simplify right side
    876,249x = 572,979,757,754.88
  5. Step 5: Solve for x
    x = 572,979,757,754.88/876,249
  6. Step 6: Final answer
    x = 653,900.61

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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.