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Finding the Fourth Proportional to 302,853.50, 417,937.85 and 175,602.90

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Solution

The fourth proportional to 302,853.50, 417,937.85 and 175,602.90 is: 242,332.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,853.50 : 417,937.85 = 175,602.90 : x
  2. Step 2: Convert to fraction form
    302,853.50/417,937.85 = 175,602.90/x
  3. Step 3: Cross multiply
    302,853.50x = 417,937.85 × 175,602.90
  4. Step 4: Simplify right side
    302,853.50x = 73,391,097,601.75
  5. Step 5: Solve for x
    x = 73,391,097,601.75/302,853.50
  6. Step 6: Final answer
    x = 242,332.01

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