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Finding the Fourth Proportional to 471,246.40, 705,314.40 and 365,492.80

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Solution

The fourth proportional to 471,246.40, 705,314.40 and 365,492.80 is: 547,033.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,246.40 : 705,314.40 = 365,492.80 : x
  2. Step 2: Convert to fraction form
    471,246.40/705,314.40 = 365,492.80/x
  3. Step 3: Cross multiply
    471,246.40x = 705,314.40 × 365,492.80
  4. Step 4: Simplify right side
    471,246.40x = 257,787,334,936.32
  5. Step 5: Solve for x
    x = 257,787,334,936.32/471,246.40
  6. Step 6: Final answer
    x = 547,033.01

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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.