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Finding the Fourth Proportional to 314,775.96, 471,906.60 and 146,401.28

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Solution

The fourth proportional to 314,775.96, 471,906.60 and 146,401.28 is: 219,482.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,775.96 : 471,906.60 = 146,401.28 : x
  2. Step 2: Convert to fraction form
    314,775.96/471,906.60 = 146,401.28/x
  3. Step 3: Cross multiply
    314,775.96x = 471,906.60 × 146,401.28
  4. Step 4: Simplify right side
    314,775.96x = 69,087,730,280.45
  5. Step 5: Solve for x
    x = 69,087,730,280.45/314,775.96
  6. Step 6: Final answer
    x = 219,482.23

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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.