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Finding the Fourth Proportional to 470,774.34, 705,479.94 and 324,564.15

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Solution

The fourth proportional to 470,774.34, 705,479.94 and 324,564.15 is: 486,376.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,774.34 : 705,479.94 = 324,564.15 : x
  2. Step 2: Convert to fraction form
    470,774.34/705,479.94 = 324,564.15/x
  3. Step 3: Cross multiply
    470,774.34x = 705,479.94 × 324,564.15
  4. Step 4: Simplify right side
    470,774.34x = 228,973,497,068.15
  5. Step 5: Solve for x
    x = 228,973,497,068.15/470,774.34
  6. Step 6: Final answer
    x = 486,376.33

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.