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Finding the Fourth Proportional to 421,386.91, 632,063.66 and 232,222.34

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Solution

The fourth proportional to 421,386.91, 632,063.66 and 232,222.34 is: 348,324.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,386.91 : 632,063.66 = 232,222.34 : x
  2. Step 2: Convert to fraction form
    421,386.91/632,063.66 = 232,222.34/x
  3. Step 3: Cross multiply
    421,386.91x = 632,063.66 × 232,222.34
  4. Step 4: Simplify right side
    421,386.91x = 146,779,302,573.21
  5. Step 5: Solve for x
    x = 146,779,302,573.21/421,386.91
  6. Step 6: Final answer
    x = 348,324.31

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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.