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Finding the Fourth Proportional to 507,814.80, 700,859.16 and 292,912.80

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Solution

The fourth proportional to 507,814.80, 700,859.16 and 292,912.80 is: 404,262.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,814.80 : 700,859.16 = 292,912.80 : x
  2. Step 2: Convert to fraction form
    507,814.80/700,859.16 = 292,912.80/x
  3. Step 3: Cross multiply
    507,814.80x = 700,859.16 × 292,912.80
  4. Step 4: Simplify right side
    507,814.80x = 205,290,618,961.25
  5. Step 5: Solve for x
    x = 205,290,618,961.25/507,814.80
  6. Step 6: Final answer
    x = 404,262.77

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1.5x scale

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.