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Finding the Fourth Proportional to 970,680.64, 1,456,024.68 and 296,759.32

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Solution

The fourth proportional to 970,680.64, 1,456,024.68 and 296,759.32 is: 445,140.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    970,680.64 : 1,456,024.68 = 296,759.32 : x
  2. Step 2: Convert to fraction form
    970,680.64/1,456,024.68 = 296,759.32/x
  3. Step 3: Cross multiply
    970,680.64x = 1,456,024.68 × 296,759.32
  4. Step 4: Simplify right side
    970,680.64x = 432,088,893,940.02
  5. Step 5: Solve for x
    x = 432,088,893,940.02/970,680.64
  6. Step 6: Final answer
    x = 445,140.12

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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.