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Finding the Fourth Proportional to 501,886.62, 692,557.44 and 297,902.70

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Solution

The fourth proportional to 501,886.62, 692,557.44 and 297,902.70 is: 411,078.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,886.62 : 692,557.44 = 297,902.70 : x
  2. Step 2: Convert to fraction form
    501,886.62/692,557.44 = 297,902.70/x
  3. Step 3: Cross multiply
    501,886.62x = 692,557.44 × 297,902.70
  4. Step 4: Simplify right side
    501,886.62x = 206,314,731,281.09
  5. Step 5: Solve for x
    x = 206,314,731,281.09/501,886.62
  6. Step 6: Final answer
    x = 411,078.37

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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.