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Finding the Fourth Proportional to 302,725.84, 417,761.75 and 175,475.24

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Solution

The fourth proportional to 302,725.84, 417,761.75 and 175,475.24 is: 242,155.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,725.84 : 417,761.75 = 175,475.24 : x
  2. Step 2: Convert to fraction form
    302,725.84/417,761.75 = 175,475.24/x
  3. Step 3: Cross multiply
    302,725.84x = 417,761.75 × 175,475.24
  4. Step 4: Simplify right side
    302,725.84x = 73,306,843,344.07
  5. Step 5: Solve for x
    x = 73,306,843,344.07/302,725.84
  6. Step 6: Final answer
    x = 242,155.88

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1.5x scale

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.