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Finding the Fourth Proportional to 472,182, 651,611.16 and 260,214

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Solution

The fourth proportional to 472,182, 651,611.16 and 260,214 is: 359,095.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,182 : 651,611.16 = 260,214 : x
  2. Step 2: Convert to fraction form
    472,182/651,611.16 = 260,214/x
  3. Step 3: Cross multiply
    472,182x = 651,611.16 × 260,214
  4. Step 4: Simplify right side
    472,182x = 169,558,346,388.24
  5. Step 5: Solve for x
    x = 169,558,346,388.24/472,182
  6. Step 6: Final answer
    x = 359,095.32

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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.