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Finding the Fourth Proportional to 1,037,072, 1,431,160.32 and 560,144

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Solution

The fourth proportional to 1,037,072, 1,431,160.32 and 560,144 is: 772,999.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,037,072 : 1,431,160.32 = 560,144 : x
  2. Step 2: Convert to fraction form
    1,037,072/1,431,160.32 = 560,144/x
  3. Step 3: Cross multiply
    1,037,072x = 1,431,160.32 × 560,144
  4. Step 4: Simplify right side
    1,037,072x = 801,655,866,286.08
  5. Step 5: Solve for x
    x = 801,655,866,286.08/1,037,072
  6. Step 6: Final answer
    x = 772,999.24

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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.