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Finding the Fourth Proportional to 470,784.20, 706,176.30 and 155,200.10

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Solution

The fourth proportional to 470,784.20, 706,176.30 and 155,200.10 is: 232,800.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,784.20 : 706,176.30 = 155,200.10 : x
  2. Step 2: Convert to fraction form
    470,784.20/706,176.30 = 155,200.10/x
  3. Step 3: Cross multiply
    470,784.20x = 706,176.30 × 155,200.10
  4. Step 4: Simplify right side
    470,784.20x = 109,598,632,377.63
  5. Step 5: Solve for x
    x = 109,598,632,377.63/470,784.20
  6. Step 6: Final answer
    x = 232,800.15

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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.