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Finding the Fourth Proportional to 512,267.08, 706,924.74 and 282,824.32

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Solution

The fourth proportional to 512,267.08, 706,924.74 and 282,824.32 is: 390,295.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,267.08 : 706,924.74 = 282,824.32 : x
  2. Step 2: Convert to fraction form
    512,267.08/706,924.74 = 282,824.32/x
  3. Step 3: Cross multiply
    512,267.08x = 706,924.74 × 282,824.32
  4. Step 4: Simplify right side
    512,267.08x = 199,935,508,881.68
  5. Step 5: Solve for x
    x = 199,935,508,881.68/512,267.08
  6. Step 6: Final answer
    x = 390,295.45

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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.