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Finding the Fourth Proportional to 970,651.42, 1,455,980.97 and 296,730.22

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Solution

The fourth proportional to 970,651.42, 1,455,980.97 and 296,730.22 is: 445,096.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,651.42 : 1,455,980.97 = 296,730.22 : x
  2. Step 2: Convert to fraction form
    970,651.42/1,455,980.97 = 296,730.22/x
  3. Step 3: Cross multiply
    970,651.42x = 1,455,980.97 × 296,730.22
  4. Step 4: Simplify right side
    970,651.42x = 432,033,553,543.91
  5. Step 5: Solve for x
    x = 432,033,553,543.91/970,651.42
  6. Step 6: Final answer
    x = 445,096.50

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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.