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Finding the Fourth Proportional to 507,754, 700,700.52 and 281,433.52

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Solution

The fourth proportional to 507,754, 700,700.52 and 281,433.52 is: 388,378.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,754 : 700,700.52 = 281,433.52 : x
  2. Step 2: Convert to fraction form
    507,754/700,700.52 = 281,433.52/x
  3. Step 3: Cross multiply
    507,754x = 700,700.52 × 281,433.52
  4. Step 4: Simplify right side
    507,754x = 197,200,613,809.43
  5. Step 5: Solve for x
    x = 197,200,613,809.43/507,754
  6. Step 6: Final answer
    x = 388,378.26

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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.