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Finding the Fourth Proportional to 472,723.32, 652,362.34 and 257,864.34

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Solution

The fourth proportional to 472,723.32, 652,362.34 and 257,864.34 is: 355,855.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,723.32 : 652,362.34 = 257,864.34 : x
  2. Step 2: Convert to fraction form
    472,723.32/652,362.34 = 257,864.34/x
  3. Step 3: Cross multiply
    472,723.32x = 652,362.34 × 257,864.34
  4. Step 4: Simplify right side
    472,723.32x = 168,220,984,244.96
  5. Step 5: Solve for x
    x = 168,220,984,244.96/472,723.32
  6. Step 6: Final answer
    x = 355,855.06

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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.