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Finding the Fourth Proportional to 374,832, 562,325.76 and 153,216

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Solution

The fourth proportional to 374,832, 562,325.76 and 153,216 is: 229,855.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,832 : 562,325.76 = 153,216 : x
  2. Step 2: Convert to fraction form
    374,832/562,325.76 = 153,216/x
  3. Step 3: Cross multiply
    374,832x = 562,325.76 × 153,216
  4. Step 4: Simplify right side
    374,832x = 86,157,303,644.16
  5. Step 5: Solve for x
    x = 86,157,303,644.16/374,832
  6. Step 6: Final answer
    x = 229,855.79

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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.