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Finding the Fourth Proportional to 456,997.53, 685,048.87 and 190,834.16

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Solution

The fourth proportional to 456,997.53, 685,048.87 and 190,834.16 is: 286,064.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,997.53 : 685,048.87 = 190,834.16 : x
  2. Step 2: Convert to fraction form
    456,997.53/685,048.87 = 190,834.16/x
  3. Step 3: Cross multiply
    456,997.53x = 685,048.87 × 190,834.16
  4. Step 4: Simplify right side
    456,997.53x = 130,730,725,665.40
  5. Step 5: Solve for x
    x = 130,730,725,665.40/456,997.53
  6. Step 6: Final answer
    x = 286,064.40

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.