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Finding the Fourth Proportional to 832,837, 1,149,315.06 and 475,133.32

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Solution

The fourth proportional to 832,837, 1,149,315.06 and 475,133.32 is: 655,683.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,837 : 1,149,315.06 = 475,133.32 : x
  2. Step 2: Convert to fraction form
    832,837/1,149,315.06 = 475,133.32/x
  3. Step 3: Cross multiply
    832,837x = 1,149,315.06 × 475,133.32
  4. Step 4: Simplify right side
    832,837x = 546,077,880,183.80
  5. Step 5: Solve for x
    x = 546,077,880,183.80/832,837
  6. Step 6: Final answer
    x = 655,683.98

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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.