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Finding the Fourth Proportional to 302,792.63, 417,853.82 and 175,542.03

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Solution

The fourth proportional to 302,792.63, 417,853.82 and 175,542.03 is: 242,248.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,792.63 : 417,853.82 = 175,542.03 : x
  2. Step 2: Convert to fraction form
    302,792.63/417,853.82 = 175,542.03/x
  3. Step 3: Cross multiply
    302,792.63x = 417,853.82 × 175,542.03
  4. Step 4: Simplify right side
    302,792.63x = 73,350,908,244.91
  5. Step 5: Solve for x
    x = 73,350,908,244.91/302,792.63
  6. Step 6: Final answer
    x = 242,248.00

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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.