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Finding the Fourth Proportional to 523,679.82, 722,678.76 and 297,325.32

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Solution

The fourth proportional to 523,679.82, 722,678.76 and 297,325.32 is: 410,309.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,679.82 : 722,678.76 = 297,325.32 : x
  2. Step 2: Convert to fraction form
    523,679.82/722,678.76 = 297,325.32/x
  3. Step 3: Cross multiply
    523,679.82x = 722,678.76 × 297,325.32
  4. Step 4: Simplify right side
    523,679.82x = 214,870,690,864.16
  5. Step 5: Solve for x
    x = 214,870,690,864.16/523,679.82
  6. Step 6: Final answer
    x = 410,309.28

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.