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Finding the Fourth Proportional to 302,946.84, 418,068.30 and 175,697.88

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Solution

The fourth proportional to 302,946.84, 418,068.30 and 175,697.88 is: 242,464.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,946.84 : 418,068.30 = 175,697.88 : x
  2. Step 2: Convert to fraction form
    302,946.84/418,068.30 = 175,697.88/x
  3. Step 3: Cross multiply
    302,946.84x = 418,068.30 × 175,697.88
  4. Step 4: Simplify right side
    302,946.84x = 73,453,714,005.20
  5. Step 5: Solve for x
    x = 73,453,714,005.20/302,946.84
  6. Step 6: Final answer
    x = 242,464.04

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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.