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Finding the Fourth Proportional to 374,588, 561,882.54 and 152,972

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Solution

The fourth proportional to 374,588, 561,882.54 and 152,972 is: 229,458.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,588 : 561,882.54 = 152,972 : x
  2. Step 2: Convert to fraction form
    374,588/561,882.54 = 152,972/x
  3. Step 3: Cross multiply
    374,588x = 561,882.54 × 152,972
  4. Step 4: Simplify right side
    374,588x = 85,952,295,908.88
  5. Step 5: Solve for x
    x = 85,952,295,908.88/374,588
  6. Step 6: Final answer
    x = 229,458.22

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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.