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Finding the Fourth Proportional to 970,714.76, 1,456,072.14 and 296,796.08

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Solution

The fourth proportional to 970,714.76, 1,456,072.14 and 296,796.08 is: 445,194.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,714.76 : 1,456,072.14 = 296,796.08 : x
  2. Step 2: Convert to fraction form
    970,714.76/1,456,072.14 = 296,796.08/x
  3. Step 3: Cross multiply
    970,714.76x = 1,456,072.14 × 296,796.08
  4. Step 4: Simplify right side
    970,714.76x = 432,156,496,068.85
  5. Step 5: Solve for x
    x = 432,156,496,068.85/970,714.76
  6. Step 6: Final answer
    x = 445,194.11

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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.