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Finding the Fourth Proportional to 507,610.16, 700,502.02 and 281,255.66

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Solution

The fourth proportional to 507,610.16, 700,502.02 and 281,255.66 is: 388,132.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,610.16 : 700,502.02 = 281,255.66 : x
  2. Step 2: Convert to fraction form
    507,610.16/700,502.02 = 281,255.66/x
  3. Step 3: Cross multiply
    507,610.16x = 700,502.02 × 281,255.66
  4. Step 4: Simplify right side
    507,610.16x = 197,020,157,966.43
  5. Step 5: Solve for x
    x = 197,020,157,966.43/507,610.16
  6. Step 6: Final answer
    x = 388,132.81

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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.