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Finding the Fourth Proportional to 314,087.45, 470,857.79 and 201,799.58

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Solution

The fourth proportional to 314,087.45, 470,857.79 and 201,799.58 is: 302,523.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,087.45 : 470,857.79 = 201,799.58 : x
  2. Step 2: Convert to fraction form
    314,087.45/470,857.79 = 201,799.58/x
  3. Step 3: Cross multiply
    314,087.45x = 470,857.79 × 201,799.58
  4. Step 4: Simplify right side
    314,087.45x = 95,018,902,411.94
  5. Step 5: Solve for x
    x = 95,018,902,411.94/314,087.45
  6. Step 6: Final answer
    x = 302,523.72

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1.5x scale

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.