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Finding the Fourth Proportional to 470,599.79, 706,010.40 and 155,056.69

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Solution

The fourth proportional to 470,599.79, 706,010.40 and 155,056.69 is: 232,621.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,599.79 : 706,010.40 = 155,056.69 : x
  2. Step 2: Convert to fraction form
    470,599.79/706,010.40 = 155,056.69/x
  3. Step 3: Cross multiply
    470,599.79x = 706,010.40 × 155,056.69
  4. Step 4: Simplify right side
    470,599.79x = 109,471,633,964.55
  5. Step 5: Solve for x
    x = 109,471,633,964.55/470,599.79
  6. Step 6: Final answer
    x = 232,621.51

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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.