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Finding the Fourth Proportional to 302,714.46, 417,746.07 and 175,463.82

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Solution

The fourth proportional to 302,714.46, 417,746.07 and 175,463.82 is: 242,140.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,714.46 : 417,746.07 = 175,463.82 : x
  2. Step 2: Convert to fraction form
    302,714.46/417,746.07 = 175,463.82/x
  3. Step 3: Cross multiply
    302,714.46x = 417,746.07 × 175,463.82
  4. Step 4: Simplify right side
    302,714.46x = 73,299,321,232.19
  5. Step 5: Solve for x
    x = 73,299,321,232.19/302,714.46
  6. Step 6: Final answer
    x = 242,140.14

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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.