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Finding the Fourth Proportional to 446,980.58, 616,835.70 and 243,033.50

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Solution

The fourth proportional to 446,980.58, 616,835.70 and 243,033.50 is: 335,387.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,980.58 : 616,835.70 = 243,033.50 : x
  2. Step 2: Convert to fraction form
    446,980.58/616,835.70 = 243,033.50/x
  3. Step 3: Cross multiply
    446,980.58x = 616,835.70 × 243,033.50
  4. Step 4: Simplify right side
    446,980.58x = 149,911,739,095.95
  5. Step 5: Solve for x
    x = 149,911,739,095.95/446,980.58
  6. Step 6: Final answer
    x = 335,387.59

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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.