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Finding the Fourth Proportional to 470,347.16, 648,461.44 and 339,414.94

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Solution

The fourth proportional to 470,347.16, 648,461.44 and 339,414.94 is: 467,946.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,347.16 : 648,461.44 = 339,414.94 : x
  2. Step 2: Convert to fraction form
    470,347.16/648,461.44 = 339,414.94/x
  3. Step 3: Cross multiply
    470,347.16x = 648,461.44 × 339,414.94
  4. Step 4: Simplify right side
    470,347.16x = 220,097,500,749.91
  5. Step 5: Solve for x
    x = 220,097,500,749.91/470,347.16
  6. Step 6: Final answer
    x = 467,946.91

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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.