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Finding the Fourth Proportional to 421,462.40, 632,193.60 and 262,030.10

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Solution

The fourth proportional to 421,462.40, 632,193.60 and 262,030.10 is: 393,045.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,462.40 : 632,193.60 = 262,030.10 : x
  2. Step 2: Convert to fraction form
    421,462.40/632,193.60 = 262,030.10/x
  3. Step 3: Cross multiply
    421,462.40x = 632,193.60 × 262,030.10
  4. Step 4: Simplify right side
    421,462.40x = 165,653,752,227.36
  5. Step 5: Solve for x
    x = 165,653,752,227.36/421,462.40
  6. Step 6: Final answer
    x = 393,045.15

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.