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Finding the Fourth Proportional to 507,036.18, 699,710.08 and 280,681.68

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Solution

The fourth proportional to 507,036.18, 699,710.08 and 280,681.68 is: 387,340.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,036.18 : 699,710.08 = 280,681.68 : x
  2. Step 2: Convert to fraction form
    507,036.18/699,710.08 = 280,681.68/x
  3. Step 3: Cross multiply
    507,036.18x = 699,710.08 × 280,681.68
  4. Step 4: Simplify right side
    507,036.18x = 196,395,800,767.33
  5. Step 5: Solve for x
    x = 196,395,800,767.33/507,036.18
  6. Step 6: Final answer
    x = 387,340.80

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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.