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Finding the Fourth Proportional to 501,516.38, 692,080.11 and 280,750.58

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Solution

The fourth proportional to 501,516.38, 692,080.11 and 280,750.58 is: 387,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,516.38 : 692,080.11 = 280,750.58 : x
  2. Step 2: Convert to fraction form
    501,516.38/692,080.11 = 280,750.58/x
  3. Step 3: Cross multiply
    501,516.38x = 692,080.11 × 280,750.58
  4. Step 4: Simplify right side
    501,516.38x = 194,301,892,966.35
  5. Step 5: Solve for x
    x = 194,301,892,966.35/501,516.38
  6. Step 6: Final answer
    x = 387,428.81

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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.