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Finding the Fourth Proportional to 364,050.78, 502,348.55 and 211,057.06

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Solution

The fourth proportional to 364,050.78, 502,348.55 and 211,057.06 is: 291,234.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    364,050.78 : 502,348.55 = 211,057.06 : x
  2. Step 2: Convert to fraction form
    364,050.78/502,348.55 = 211,057.06/x
  3. Step 3: Cross multiply
    364,050.78x = 502,348.55 × 211,057.06
  4. Step 4: Simplify right side
    364,050.78x = 106,024,208,058.26
  5. Step 5: Solve for x
    x = 106,024,208,058.26/364,050.78
  6. Step 6: Final answer
    x = 291,234.67

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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.