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Finding the Fourth Proportional to 470,607.12, 705,998.16 and 155,076.48

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Solution

The fourth proportional to 470,607.12, 705,998.16 and 155,076.48 is: 232,643.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,607.12 : 705,998.16 = 155,076.48 : x
  2. Step 2: Convert to fraction form
    470,607.12/705,998.16 = 155,076.48/x
  3. Step 3: Cross multiply
    470,607.12x = 705,998.16 × 155,076.48
  4. Step 4: Simplify right side
    470,607.12x = 109,483,709,539.28
  5. Step 5: Solve for x
    x = 109,483,709,539.28/470,607.12
  6. Step 6: Final answer
    x = 232,643.55

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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.