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Finding the Fourth Proportional to 470,454.80, 649,259.72 and 266,507.39

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Solution

The fourth proportional to 470,454.80, 649,259.72 and 266,507.39 is: 367,798.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,454.80 : 649,259.72 = 266,507.39 : x
  2. Step 2: Convert to fraction form
    470,454.80/649,259.72 = 266,507.39/x
  3. Step 3: Cross multiply
    470,454.80x = 649,259.72 × 266,507.39
  4. Step 4: Simplify right side
    470,454.80x = 173,032,513,699.94
  5. Step 5: Solve for x
    x = 173,032,513,699.94/470,454.80
  6. Step 6: Final answer
    x = 367,798.38

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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.