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Finding the Fourth Proportional to 374,838, 562,257.54 and 153,222

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Solution

The fourth proportional to 374,838, 562,257.54 and 153,222 is: 229,833.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,838 : 562,257.54 = 153,222 : x
  2. Step 2: Convert to fraction form
    374,838/562,257.54 = 153,222/x
  3. Step 3: Cross multiply
    374,838x = 562,257.54 × 153,222
  4. Step 4: Simplify right side
    374,838x = 86,150,224,793.88
  5. Step 5: Solve for x
    x = 86,150,224,793.88/374,838
  6. Step 6: Final answer
    x = 229,833.22

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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.