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Finding the Fourth Proportional to 470,802.60, 706,203.90 and 155,183.40

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Solution

The fourth proportional to 470,802.60, 706,203.90 and 155,183.40 is: 232,775.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,802.60 : 706,203.90 = 155,183.40 : x
  2. Step 2: Convert to fraction form
    470,802.60/706,203.90 = 155,183.40/x
  3. Step 3: Cross multiply
    470,802.60x = 706,203.90 × 155,183.40
  4. Step 4: Simplify right side
    470,802.60x = 109,591,122,295.26
  5. Step 5: Solve for x
    x = 109,591,122,295.26/470,802.60
  6. Step 6: Final answer
    x = 232,775.10

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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.