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Finding the Fourth Proportional to 377,036.68, 565,406.16 and 152,354.68

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Solution

The fourth proportional to 377,036.68, 565,406.16 and 152,354.68 is: 228,471.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,036.68 : 565,406.16 = 152,354.68 : x
  2. Step 2: Convert to fraction form
    377,036.68/565,406.16 = 152,354.68/x
  3. Step 3: Cross multiply
    377,036.68x = 565,406.16 × 152,354.68
  4. Step 4: Simplify right side
    377,036.68x = 86,142,274,576.83
  5. Step 5: Solve for x
    x = 86,142,274,576.83/377,036.68
  6. Step 6: Final answer
    x = 228,471.87

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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.