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Finding the Fourth Proportional to 470,059.47, 648,722.21 and 266,146.32

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Solution

The fourth proportional to 470,059.47, 648,722.21 and 266,146.32 is: 367,304.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,059.47 : 648,722.21 = 266,146.32 : x
  2. Step 2: Convert to fraction form
    470,059.47/648,722.21 = 266,146.32/x
  3. Step 3: Cross multiply
    470,059.47x = 648,722.21 × 266,146.32
  4. Step 4: Simplify right side
    470,059.47x = 172,655,027,563.04
  5. Step 5: Solve for x
    x = 172,655,027,563.04/470,059.47
  6. Step 6: Final answer
    x = 367,304.65

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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.