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Finding the Fourth Proportional to 583,464, 805,180.32 and 315,192

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Solution

The fourth proportional to 583,464, 805,180.32 and 315,192 is: 434,964.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    583,464 : 805,180.32 = 315,192 : x
  2. Step 2: Convert to fraction form
    583,464/805,180.32 = 315,192/x
  3. Step 3: Cross multiply
    583,464x = 805,180.32 × 315,192
  4. Step 4: Simplify right side
    583,464x = 253,786,395,421.44
  5. Step 5: Solve for x
    x = 253,786,395,421.44/583,464
  6. Step 6: Final answer
    x = 434,964.96

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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.