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Finding the Fourth Proportional to 470,760.60, 706,140.90 and 155,141.40

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Solution

The fourth proportional to 470,760.60, 706,140.90 and 155,141.40 is: 232,712.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,760.60 : 706,140.90 = 155,141.40 : x
  2. Step 2: Convert to fraction form
    470,760.60/706,140.90 = 155,141.40/x
  3. Step 3: Cross multiply
    470,760.60x = 706,140.90 × 155,141.40
  4. Step 4: Simplify right side
    470,760.60x = 109,551,687,823.26
  5. Step 5: Solve for x
    x = 109,551,687,823.26/470,760.60
  6. Step 6: Final answer
    x = 232,712.10

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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.