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Finding the Fourth Proportional to 313,702.04, 470,514.18 and 185,694.50

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Solution

The fourth proportional to 313,702.04, 470,514.18 and 185,694.50 is: 278,518.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,702.04 : 470,514.18 = 185,694.50 : x
  2. Step 2: Convert to fraction form
    313,702.04/470,514.18 = 185,694.50/x
  3. Step 3: Cross multiply
    313,702.04x = 470,514.18 × 185,694.50
  4. Step 4: Simplify right side
    313,702.04x = 87,371,895,398.01
  5. Step 5: Solve for x
    x = 87,371,895,398.01/313,702.04
  6. Step 6: Final answer
    x = 278,518.74

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