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Finding the Fourth Proportional to 302,673.94, 417,690.05 and 175,423.34

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Solution

The fourth proportional to 302,673.94, 417,690.05 and 175,423.34 is: 242,084.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,673.94 : 417,690.05 = 175,423.34 : x
  2. Step 2: Convert to fraction form
    302,673.94/417,690.05 = 175,423.34/x
  3. Step 3: Cross multiply
    302,673.94x = 417,690.05 × 175,423.34
  4. Step 4: Simplify right side
    302,673.94x = 73,272,583,822.88
  5. Step 5: Solve for x
    x = 73,272,583,822.88/302,673.94
  6. Step 6: Final answer
    x = 242,084.22

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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.