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Finding the Fourth Proportional to 314,467.60, 471,701.40 and 209,491.60

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Solution

The fourth proportional to 314,467.60, 471,701.40 and 209,491.60 is: 314,237.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,467.60 : 471,701.40 = 209,491.60 : x
  2. Step 2: Convert to fraction form
    314,467.60/471,701.40 = 209,491.60/x
  3. Step 3: Cross multiply
    314,467.60x = 471,701.40 × 209,491.60
  4. Step 4: Simplify right side
    314,467.60x = 98,817,481,008.24
  5. Step 5: Solve for x
    x = 98,817,481,008.24/314,467.60
  6. Step 6: Final answer
    x = 314,237.40

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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.