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Finding the Fourth Proportional to 507,443.82, 700,270.97 and 292,582.01

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Solution

The fourth proportional to 507,443.82, 700,270.97 and 292,582.01 is: 403,762.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,443.82 : 700,270.97 = 292,582.01 : x
  2. Step 2: Convert to fraction form
    507,443.82/700,270.97 = 292,582.01/x
  3. Step 3: Cross multiply
    507,443.82x = 700,270.97 × 292,582.01
  4. Step 4: Simplify right side
    507,443.82x = 204,886,682,982.99
  5. Step 5: Solve for x
    x = 204,886,682,982.99/507,443.82
  6. Step 6: Final answer
    x = 403,762.30

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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.