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Finding the Fourth Proportional to 314,742.80, 472,114.20 and 302,495.60

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Solution

The fourth proportional to 314,742.80, 472,114.20 and 302,495.60 is: 453,743.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,742.80 : 472,114.20 = 302,495.60 : x
  2. Step 2: Convert to fraction form
    314,742.80/472,114.20 = 302,495.60/x
  3. Step 3: Cross multiply
    314,742.80x = 472,114.20 × 302,495.60
  4. Step 4: Simplify right side
    314,742.80x = 142,812,468,197.52
  5. Step 5: Solve for x
    x = 142,812,468,197.52/314,742.80
  6. Step 6: Final answer
    x = 453,743.40

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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.