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Finding the Fourth Proportional to 507,140.19, 699,875.34 and 280,785.69

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Solution

The fourth proportional to 507,140.19, 699,875.34 and 280,785.69 is: 387,496.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,140.19 : 699,875.34 = 280,785.69 : x
  2. Step 2: Convert to fraction form
    507,140.19/699,875.34 = 280,785.69/x
  3. Step 3: Cross multiply
    507,140.19x = 699,875.34 × 280,785.69
  4. Step 4: Simplify right side
    507,140.19x = 196,514,980,255.89
  5. Step 5: Solve for x
    x = 196,514,980,255.89/507,140.19
  6. Step 6: Final answer
    x = 387,496.37

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.