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Finding the Fourth Proportional to 377,009.70, 565,917.46 and 152,516.90

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Solution

The fourth proportional to 377,009.70, 565,917.46 and 152,516.90 is: 228,938.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,009.70 : 565,917.46 = 152,516.90 : x
  2. Step 2: Convert to fraction form
    377,009.70/565,917.46 = 152,516.90/x
  3. Step 3: Cross multiply
    377,009.70x = 565,917.46 × 152,516.90
  4. Step 4: Simplify right side
    377,009.70x = 86,311,976,655.07
  5. Step 5: Solve for x
    x = 86,311,976,655.07/377,009.70
  6. Step 6: Final answer
    x = 228,938.34

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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.