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Finding the Fourth Proportional to 649,223.97, 978,267.37 and 533,487.93

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Solution

The fourth proportional to 649,223.97, 978,267.37 and 533,487.93 is: 803,873.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,223.97 : 978,267.37 = 533,487.93 : x
  2. Step 2: Convert to fraction form
    649,223.97/978,267.37 = 533,487.93/x
  3. Step 3: Cross multiply
    649,223.97x = 978,267.37 × 533,487.93
  4. Step 4: Simplify right side
    649,223.97x = 521,893,829,316.51
  5. Step 5: Solve for x
    x = 521,893,829,316.51/649,223.97
  6. Step 6: Final answer
    x = 803,873.33

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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.