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Finding the Fourth Proportional to 501,905.10, 692,583 and 297,921.18

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Solution

The fourth proportional to 501,905.10, 692,583 and 297,921.18 is: 411,103.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501,905.10 : 692,583 = 297,921.18 : x
  2. Step 2: Convert to fraction form
    501,905.10/692,583 = 297,921.18/x
  3. Step 3: Cross multiply
    501,905.10x = 692,583 × 297,921.18
  4. Step 4: Simplify right side
    501,905.10x = 206,335,144,607.94
  5. Step 5: Solve for x
    x = 206,335,144,607.94/501,905.10
  6. Step 6: Final answer
    x = 411,103.90

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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.