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Finding the Fourth Proportional to 302,741.76, 417,778.38 and 175,429.20

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Solution

The fourth proportional to 302,741.76, 417,778.38 and 175,429.20 is: 242,089.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,741.76 : 417,778.38 = 175,429.20 : x
  2. Step 2: Convert to fraction form
    302,741.76/417,778.38 = 175,429.20/x
  3. Step 3: Cross multiply
    302,741.76x = 417,778.38 × 175,429.20
  4. Step 4: Simplify right side
    302,741.76x = 73,290,526,980.70
  5. Step 5: Solve for x
    x = 73,290,526,980.70/302,741.76
  6. Step 6: Final answer
    x = 242,089.25

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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.