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Finding the Fourth Proportional to 470,792.50, 706,195.23 and 260,840.50

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Solution

The fourth proportional to 470,792.50, 706,195.23 and 260,840.50 is: 391,264.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,792.50 : 706,195.23 = 260,840.50 : x
  2. Step 2: Convert to fraction form
    470,792.50/706,195.23 = 260,840.50/x
  3. Step 3: Cross multiply
    470,792.50x = 706,195.23 × 260,840.50
  4. Step 4: Simplify right side
    470,792.50x = 184,204,316,890.82
  5. Step 5: Solve for x
    x = 184,204,316,890.82/470,792.50
  6. Step 6: Final answer
    x = 391,264.34

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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.