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Finding the Fourth Proportional to 470,777.60, 706,166.40 and 155,158.40

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Solution

The fourth proportional to 470,777.60, 706,166.40 and 155,158.40 is: 232,737.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,777.60 : 706,166.40 = 155,158.40 : x
  2. Step 2: Convert to fraction form
    470,777.60/706,166.40 = 155,158.40/x
  3. Step 3: Cross multiply
    470,777.60x = 706,166.40 × 155,158.40
  4. Step 4: Simplify right side
    470,777.60x = 109,567,648,757.76
  5. Step 5: Solve for x
    x = 109,567,648,757.76/470,777.60
  6. Step 6: Final answer
    x = 232,737.60

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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.