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Finding the Fourth Proportional to 302,772.96, 417,826.80 and 175,522.32

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Solution

The fourth proportional to 302,772.96, 417,826.80 and 175,522.32 is: 242,220.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,772.96 : 417,826.80 = 175,522.32 : x
  2. Step 2: Convert to fraction form
    302,772.96/417,826.80 = 175,522.32/x
  3. Step 3: Cross multiply
    302,772.96x = 417,826.80 × 175,522.32
  4. Step 4: Simplify right side
    302,772.96x = 73,337,929,294.18
  5. Step 5: Solve for x
    x = 73,337,929,294.18/302,772.96
  6. Step 6: Final answer
    x = 242,220.87

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.