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Finding the Fourth Proportional to 552,062.64, 823,998.40 and 475,834.80

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Solution

The fourth proportional to 552,062.64, 823,998.40 and 475,834.80 is: 710,222.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,062.64 : 823,998.40 = 475,834.80 : x
  2. Step 2: Convert to fraction form
    552,062.64/823,998.40 = 475,834.80/x
  3. Step 3: Cross multiply
    552,062.64x = 823,998.40 × 475,834.80
  4. Step 4: Simplify right side
    552,062.64x = 392,087,113,864.32
  5. Step 5: Solve for x
    x = 392,087,113,864.32/552,062.64
  6. Step 6: Final answer
    x = 710,222.15

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.