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Finding the Fourth Proportional to 288,677.36, 433,006.32 and 101,684

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Solution

The fourth proportional to 288,677.36, 433,006.32 and 101,684 is: 152,522.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,677.36 : 433,006.32 = 101,684 : x
  2. Step 2: Convert to fraction form
    288,677.36/433,006.32 = 101,684/x
  3. Step 3: Cross multiply
    288,677.36x = 433,006.32 × 101,684
  4. Step 4: Simplify right side
    288,677.36x = 44,029,814,642.88
  5. Step 5: Solve for x
    x = 44,029,814,642.88/288,677.36
  6. Step 6: Final answer
    x = 152,522.58

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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.