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Finding the Fourth Proportional to 470,840.44, 649,730.68 and 264,097.45

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Solution

The fourth proportional to 470,840.44, 649,730.68 and 264,097.45 is: 364,438.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,840.44 : 649,730.68 = 264,097.45 : x
  2. Step 2: Convert to fraction form
    470,840.44/649,730.68 = 264,097.45/x
  3. Step 3: Cross multiply
    470,840.44x = 649,730.68 × 264,097.45
  4. Step 4: Simplify right side
    470,840.44x = 171,592,215,774.77
  5. Step 5: Solve for x
    x = 171,592,215,774.77/470,840.44
  6. Step 6: Final answer
    x = 364,438.14

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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.