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Finding the Fourth Proportional to 507,813.80, 700,857.78 and 292,911.80

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Solution

The fourth proportional to 507,813.80, 700,857.78 and 292,911.80 is: 404,261.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,813.80 : 700,857.78 = 292,911.80 : x
  2. Step 2: Convert to fraction form
    507,813.80/700,857.78 = 292,911.80/x
  3. Step 3: Cross multiply
    507,813.80x = 700,857.78 × 292,911.80
  4. Step 4: Simplify right side
    507,813.80x = 205,289,513,883.80
  5. Step 5: Solve for x
    x = 205,289,513,883.80/507,813.80
  6. Step 6: Final answer
    x = 404,261.39

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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.