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Finding the Fourth Proportional to 470,148.89, 648,798.71 and 266,194.49

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Solution

The fourth proportional to 470,148.89, 648,798.71 and 266,194.49 is: 367,344.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,148.89 : 648,798.71 = 266,194.49 : x
  2. Step 2: Convert to fraction form
    470,148.89/648,798.71 = 266,194.49/x
  3. Step 3: Cross multiply
    470,148.89x = 648,798.71 × 266,194.49
  4. Step 4: Simplify right side
    470,148.89x = 172,706,637,146.14
  5. Step 5: Solve for x
    x = 172,706,637,146.14/470,148.89
  6. Step 6: Final answer
    x = 367,344.56

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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.