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Finding the Fourth Proportional to 302,727.64, 417,764.22 and 175,477.03

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Solution

The fourth proportional to 302,727.64, 417,764.22 and 175,477.03 is: 242,158.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,727.64 : 417,764.22 = 175,477.03 : x
  2. Step 2: Convert to fraction form
    302,727.64/417,764.22 = 175,477.03/x
  3. Step 3: Cross multiply
    302,727.64x = 417,764.22 × 175,477.03
  4. Step 4: Simplify right side
    302,727.64x = 73,308,024,565.87
  5. Step 5: Solve for x
    x = 73,308,024,565.87/302,727.64
  6. Step 6: Final answer
    x = 242,158.35

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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.