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Finding the Fourth Proportional to 470,066.52, 648,691.80 and 255,206.60

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Solution

The fourth proportional to 470,066.52, 648,691.80 and 255,206.60 is: 352,185.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,066.52 : 648,691.80 = 255,206.60 : x
  2. Step 2: Convert to fraction form
    470,066.52/648,691.80 = 255,206.60/x
  3. Step 3: Cross multiply
    470,066.52x = 648,691.80 × 255,206.60
  4. Step 4: Simplify right side
    470,066.52x = 165,550,428,725.88
  5. Step 5: Solve for x
    x = 165,550,428,725.88/470,066.52
  6. Step 6: Final answer
    x = 352,185.11

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.