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Finding the Fourth Proportional to 470,465.44, 705,145.20 and 364,297.12

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Solution

The fourth proportional to 470,465.44, 705,145.20 and 364,297.12 is: 546,017.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,465.44 : 705,145.20 = 364,297.12 : x
  2. Step 2: Convert to fraction form
    470,465.44/705,145.20 = 364,297.12/x
  3. Step 3: Cross multiply
    470,465.44x = 705,145.20 × 364,297.12
  4. Step 4: Simplify right side
    470,465.44x = 256,882,365,541.82
  5. Step 5: Solve for x
    x = 256,882,365,541.82/470,465.44
  6. Step 6: Final answer
    x = 546,017.50

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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.