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Finding the Fourth Proportional to 507,828.18, 700,803 and 281,473.68

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Solution

The fourth proportional to 507,828.18, 700,803 and 281,473.68 is: 388,433.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,828.18 : 700,803 = 281,473.68 : x
  2. Step 2: Convert to fraction form
    507,828.18/700,803 = 281,473.68/x
  3. Step 3: Cross multiply
    507,828.18x = 700,803 × 281,473.68
  4. Step 4: Simplify right side
    507,828.18x = 197,257,599,365.04
  5. Step 5: Solve for x
    x = 197,257,599,365.04/507,828.18
  6. Step 6: Final answer
    x = 388,433.74

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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.