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Finding the Fourth Proportional to 302,714.32, 417,745.72 and 175,463.72

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Solution

The fourth proportional to 302,714.32, 417,745.72 and 175,463.72 is: 242,139.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,714.32 : 417,745.72 = 175,463.72 : x
  2. Step 2: Convert to fraction form
    302,714.32/417,745.72 = 175,463.72/x
  3. Step 3: Cross multiply
    302,714.32x = 417,745.72 × 175,463.72
  4. Step 4: Simplify right side
    302,714.32x = 73,299,218,045.28
  5. Step 5: Solve for x
    x = 73,299,218,045.28/302,714.32
  6. Step 6: Final answer
    x = 242,139.91

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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.