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Finding the Fourth Proportional to 467,990, 702,058.08 and 152,372.60

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Solution

The fourth proportional to 467,990, 702,058.08 and 152,372.60 is: 228,582.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,990 : 702,058.08 = 152,372.60 : x
  2. Step 2: Convert to fraction form
    467,990/702,058.08 = 152,372.60/x
  3. Step 3: Cross multiply
    467,990x = 702,058.08 × 152,372.60
  4. Step 4: Simplify right side
    467,990x = 106,974,415,000.61
  5. Step 5: Solve for x
    x = 106,974,415,000.61/467,990
  6. Step 6: Final answer
    x = 228,582.69

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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.