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Finding the Fourth Proportional to 314,074.10, 470,953.47 and 145,449.38

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Solution

The fourth proportional to 314,074.10, 470,953.47 and 145,449.38 is: 218,101.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,074.10 : 470,953.47 = 145,449.38 : x
  2. Step 2: Convert to fraction form
    314,074.10/470,953.47 = 145,449.38/x
  3. Step 3: Cross multiply
    314,074.10x = 470,953.47 × 145,449.38
  4. Step 4: Simplify right side
    314,074.10x = 68,499,890,220.35
  5. Step 5: Solve for x
    x = 68,499,890,220.35/314,074.10
  6. Step 6: Final answer
    x = 218,101.05

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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.