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Finding the Fourth Proportional to 470,602.95, 706,015.14 and 155,059.84

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Solution

The fourth proportional to 470,602.95, 706,015.14 and 155,059.84 is: 232,626.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,602.95 : 706,015.14 = 155,059.84 : x
  2. Step 2: Convert to fraction form
    470,602.95/706,015.14 = 155,059.84/x
  3. Step 3: Cross multiply
    470,602.95x = 706,015.14 × 155,059.84
  4. Step 4: Simplify right side
    470,602.95x = 109,474,594,645.98
  5. Step 5: Solve for x
    x = 109,474,594,645.98/470,602.95
  6. Step 6: Final answer
    x = 232,626.24

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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.