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Finding the Fourth Proportional to 341,184.48, 470,835.36 and 190,291.20

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Solution

The fourth proportional to 341,184.48, 470,835.36 and 190,291.20 is: 262,602.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,184.48 : 470,835.36 = 190,291.20 : x
  2. Step 2: Convert to fraction form
    341,184.48/470,835.36 = 190,291.20/x
  3. Step 3: Cross multiply
    341,184.48x = 470,835.36 × 190,291.20
  4. Step 4: Simplify right side
    341,184.48x = 89,595,825,656.83
  5. Step 5: Solve for x
    x = 89,595,825,656.83/341,184.48
  6. Step 6: Final answer
    x = 262,602.29

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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.