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Finding the Fourth Proportional to 649,233.90, 978,282.37 and 533,497.86

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Solution

The fourth proportional to 649,233.90, 978,282.37 and 533,497.86 is: 803,888.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,233.90 : 978,282.37 = 533,497.86 : x
  2. Step 2: Convert to fraction form
    649,233.90/978,282.37 = 533,497.86/x
  3. Step 3: Cross multiply
    649,233.90x = 978,282.37 × 533,497.86
  4. Step 4: Simplify right side
    649,233.90x = 521,911,550,870.73
  5. Step 5: Solve for x
    x = 521,911,550,870.73/649,233.90
  6. Step 6: Final answer
    x = 803,888.32

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.