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Finding the Fourth Proportional to 507,089.82, 699,782.76 and 292,228.02

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Solution

The fourth proportional to 507,089.82, 699,782.76 and 292,228.02 is: 403,273.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,089.82 : 699,782.76 = 292,228.02 : x
  2. Step 2: Convert to fraction form
    507,089.82/699,782.76 = 292,228.02/x
  3. Step 3: Cross multiply
    507,089.82x = 699,782.76 × 292,228.02
  4. Step 4: Simplify right side
    507,089.82x = 204,496,130,384.94
  5. Step 5: Solve for x
    x = 204,496,130,384.94/507,089.82
  6. Step 6: Final answer
    x = 403,273.98

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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.