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Finding the Fourth Proportional to 382,030.86, 573,160.77 and 154,209.18

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Solution

The fourth proportional to 382,030.86, 573,160.77 and 154,209.18 is: 231,359.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,030.86 : 573,160.77 = 154,209.18 : x
  2. Step 2: Convert to fraction form
    382,030.86/573,160.77 = 154,209.18/x
  3. Step 3: Cross multiply
    382,030.86x = 573,160.77 × 154,209.18
  4. Step 4: Simplify right side
    382,030.86x = 88,386,652,349.87
  5. Step 5: Solve for x
    x = 88,386,652,349.87/382,030.86
  6. Step 6: Final answer
    x = 231,359.98

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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.