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Finding the Fourth Proportional to 282,670.50, 424,200.16 and 116,458.50

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Solution

The fourth proportional to 282,670.50, 424,200.16 and 116,458.50 is: 174,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,670.50 : 424,200.16 = 116,458.50 : x
  2. Step 2: Convert to fraction form
    282,670.50/424,200.16 = 116,458.50/x
  3. Step 3: Cross multiply
    282,670.50x = 424,200.16 × 116,458.50
  4. Step 4: Simplify right side
    282,670.50x = 49,401,714,333.36
  5. Step 5: Solve for x
    x = 49,401,714,333.36/282,670.50
  6. Step 6: Final answer
    x = 174,767.85

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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.