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Finding the Fourth Proportional to 470,958.60, 706,437.90 and 155,339.40

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Solution

The fourth proportional to 470,958.60, 706,437.90 and 155,339.40 is: 233,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,958.60 : 706,437.90 = 155,339.40 : x
  2. Step 2: Convert to fraction form
    470,958.60/706,437.90 = 155,339.40/x
  3. Step 3: Cross multiply
    470,958.60x = 706,437.90 × 155,339.40
  4. Step 4: Simplify right side
    470,958.60x = 109,737,639,523.26
  5. Step 5: Solve for x
    x = 109,737,639,523.26/470,958.60
  6. Step 6: Final answer
    x = 233,009.10

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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.