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Finding the Fourth Proportional to 649,235.15, 978,284.24 and 533,499.11

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Solution

The fourth proportional to 649,235.15, 978,284.24 and 533,499.11 is: 803,890.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    649,235.15 : 978,284.24 = 533,499.11 : x
  2. Step 2: Convert to fraction form
    649,235.15/978,284.24 = 533,499.11/x
  3. Step 3: Cross multiply
    649,235.15x = 978,284.24 × 533,499.11
  4. Step 4: Simplify right side
    649,235.15x = 521,913,763,808.11
  5. Step 5: Solve for x
    x = 521,913,763,808.11/649,235.15
  6. Step 6: Final answer
    x = 803,890.19

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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.