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Finding the Fourth Proportional to 507,583.34, 700,465.00 and 281,228.84

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Solution

The fourth proportional to 507,583.34, 700,465.00 and 281,228.84 is: 388,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,583.34 : 700,465.00 = 281,228.84 : x
  2. Step 2: Convert to fraction form
    507,583.34/700,465.00 = 281,228.84/x
  3. Step 3: Cross multiply
    507,583.34x = 700,465.00 × 281,228.84
  4. Step 4: Simplify right side
    507,583.34x = 196,990,957,575.63
  5. Step 5: Solve for x
    x = 196,990,957,575.63/507,583.34
  6. Step 6: Final answer
    x = 388,095.79

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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.