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Finding the Fourth Proportional to 377,120.88, 565,679.85 and 152,478.63

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Solution

The fourth proportional to 377,120.88, 565,679.85 and 152,478.63 is: 228,717.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,120.88 : 565,679.85 = 152,478.63 : x
  2. Step 2: Convert to fraction form
    377,120.88/565,679.85 = 152,478.63/x
  3. Step 3: Cross multiply
    377,120.88x = 565,679.85 × 152,478.63
  4. Step 4: Simplify right side
    377,120.88x = 86,254,088,546.61
  5. Step 5: Solve for x
    x = 86,254,088,546.61/377,120.88
  6. Step 6: Final answer
    x = 228,717.35

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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.