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Finding the Fourth Proportional to 302,410.72, 417,317.88 and 175,088.80

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Solution

The fourth proportional to 302,410.72, 417,317.88 and 175,088.80 is: 241,617.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,410.72 : 417,317.88 = 175,088.80 : x
  2. Step 2: Convert to fraction form
    302,410.72/417,317.88 = 175,088.80/x
  3. Step 3: Cross multiply
    302,410.72x = 417,317.88 × 175,088.80
  4. Step 4: Simplify right side
    302,410.72x = 73,067,686,827.74
  5. Step 5: Solve for x
    x = 73,067,686,827.74/302,410.72
  6. Step 6: Final answer
    x = 241,617.38

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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.