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Finding the Fourth Proportional to 377,208.48, 565,878.24 and 152,559.84

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Solution

The fourth proportional to 377,208.48, 565,878.24 and 152,559.84 is: 228,866.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    377,208.48 : 565,878.24 = 152,559.84 : x
  2. Step 2: Convert to fraction form
    377,208.48/565,878.24 = 152,559.84/x
  3. Step 3: Cross multiply
    377,208.48x = 565,878.24 × 152,559.84
  4. Step 4: Simplify right side
    377,208.48x = 86,330,293,753.88
  5. Step 5: Solve for x
    x = 86,330,293,753.88/377,208.48
  6. Step 6: Final answer
    x = 228,866.26

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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.