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Finding the Fourth Proportional to 467,031, 644,503.50 and 265,827

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Solution

The fourth proportional to 467,031, 644,503.50 and 265,827 is: 366,841.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,031 : 644,503.50 = 265,827 : x
  2. Step 2: Convert to fraction form
    467,031/644,503.50 = 265,827/x
  3. Step 3: Cross multiply
    467,031x = 644,503.50 × 265,827
  4. Step 4: Simplify right side
    467,031x = 171,326,431,894.50
  5. Step 5: Solve for x
    x = 171,326,431,894.50/467,031
  6. Step 6: Final answer
    x = 366,841.67

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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.