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Finding the Fourth Proportional to 501,860.76, 692,478.48 and 284,068.38

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Solution

The fourth proportional to 501,860.76, 692,478.48 and 284,068.38 is: 391,963.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,860.76 : 692,478.48 = 284,068.38 : x
  2. Step 2: Convert to fraction form
    501,860.76/692,478.48 = 284,068.38/x
  3. Step 3: Cross multiply
    501,860.76x = 692,478.48 × 284,068.38
  4. Step 4: Simplify right side
    501,860.76x = 196,711,239,998.46
  5. Step 5: Solve for x
    x = 196,711,239,998.46/501,860.76
  6. Step 6: Final answer
    x = 391,963.78

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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.