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Finding the Fourth Proportional to 421,662.83, 632,702.06 and 197,038.76

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Solution

The fourth proportional to 421,662.83, 632,702.06 and 197,038.76 is: 295,655.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,662.83 : 632,702.06 = 197,038.76 : x
  2. Step 2: Convert to fraction form
    421,662.83/632,702.06 = 197,038.76/x
  3. Step 3: Cross multiply
    421,662.83x = 632,702.06 × 197,038.76
  4. Step 4: Simplify right side
    421,662.83x = 124,666,828,366.65
  5. Step 5: Solve for x
    x = 124,666,828,366.65/421,662.83
  6. Step 6: Final answer
    x = 295,655.25

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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.