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Finding the Fourth Proportional to 312,090.80, 466,969.80 and 207,114.80

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Solution

The fourth proportional to 312,090.80, 466,969.80 and 207,114.80 is: 309,898.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    312,090.80 : 466,969.80 = 207,114.80 : x
  2. Step 2: Convert to fraction form
    312,090.80/466,969.80 = 207,114.80/x
  3. Step 3: Cross multiply
    312,090.80x = 466,969.80 × 207,114.80
  4. Step 4: Simplify right side
    312,090.80x = 96,716,356,733.04
  5. Step 5: Solve for x
    x = 96,716,356,733.04/312,090.80
  6. Step 6: Final answer
    x = 309,898.13

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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.