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Finding the Fourth Proportional to 786,148.56, 1,084,749 and 463,834.32

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Solution

The fourth proportional to 786,148.56, 1,084,749 and 463,834.32 is: 640,011.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,148.56 : 1,084,749 = 463,834.32 : x
  2. Step 2: Convert to fraction form
    786,148.56/1,084,749 = 463,834.32/x
  3. Step 3: Cross multiply
    786,148.56x = 1,084,749 × 463,834.32
  4. Step 4: Simplify right side
    786,148.56x = 503,143,814,785.68
  5. Step 5: Solve for x
    x = 503,143,814,785.68/786,148.56
  6. Step 6: Final answer
    x = 640,011.11

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.