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Finding the Fourth Proportional to 507,895.48, 700,715.10 and 293,089.96

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Solution

The fourth proportional to 507,895.48, 700,715.10 and 293,089.96 is: 404,359.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,895.48 : 700,715.10 = 293,089.96 : x
  2. Step 2: Convert to fraction form
    507,895.48/700,715.10 = 293,089.96/x
  3. Step 3: Cross multiply
    507,895.48x = 700,715.10 × 293,089.96
  4. Step 4: Simplify right side
    507,895.48x = 205,372,560,630.40
  5. Step 5: Solve for x
    x = 205,372,560,630.40/507,895.48
  6. Step 6: Final answer
    x = 404,359.89

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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.