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Finding the Fourth Proportional to 833,409.66, 1,150,037.16 and 470,865

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Solution

The fourth proportional to 833,409.66, 1,150,037.16 and 470,865 is: 649,755.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    833,409.66 : 1,150,037.16 = 470,865 : x
  2. Step 2: Convert to fraction form
    833,409.66/1,150,037.16 = 470,865/x
  3. Step 3: Cross multiply
    833,409.66x = 1,150,037.16 × 470,865
  4. Step 4: Simplify right side
    833,409.66x = 541,512,247,343.40
  5. Step 5: Solve for x
    x = 541,512,247,343.40/833,409.66
  6. Step 6: Final answer
    x = 649,755.18

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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.