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Finding the Fourth Proportional to 470,235.24, 648,924.47 and 255,375.36

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Solution

The fourth proportional to 470,235.24, 648,924.47 and 255,375.36 is: 352,417.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,235.24 : 648,924.47 = 255,375.36 : x
  2. Step 2: Convert to fraction form
    470,235.24/648,924.47 = 255,375.36/x
  3. Step 3: Cross multiply
    470,235.24x = 648,924.47 × 255,375.36
  4. Step 4: Simplify right side
    470,235.24x = 165,719,320,139.06
  5. Step 5: Solve for x
    x = 165,719,320,139.06/470,235.24
  6. Step 6: Final answer
    x = 352,417.91

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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.