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Finding the Fourth Proportional to 715,384, 1,073,241.84 and 209,924.32

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Solution

The fourth proportional to 715,384, 1,073,241.84 and 209,924.32 is: 314,935.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,384 : 1,073,241.84 = 209,924.32 : x
  2. Step 2: Convert to fraction form
    715,384/1,073,241.84 = 209,924.32/x
  3. Step 3: Cross multiply
    715,384x = 1,073,241.84 × 209,924.32
  4. Step 4: Simplify right side
    715,384x = 225,299,563,457.55
  5. Step 5: Solve for x
    x = 225,299,563,457.55/715,384
  6. Step 6: Final answer
    x = 314,935.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.