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Finding the Fourth Proportional to 652,029.80, 978,044.70 and 178,714.40

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Solution

The fourth proportional to 652,029.80, 978,044.70 and 178,714.40 is: 268,071.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,029.80 : 978,044.70 = 178,714.40 : x
  2. Step 2: Convert to fraction form
    652,029.80/978,044.70 = 178,714.40/x
  3. Step 3: Cross multiply
    652,029.80x = 978,044.70 × 178,714.40
  4. Step 4: Simplify right side
    652,029.80x = 174,790,671,733.68
  5. Step 5: Solve for x
    x = 174,790,671,733.68/652,029.80
  6. Step 6: Final answer
    x = 268,071.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.