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Finding the Fourth Proportional to 333,809.76, 460,511.28 and 199,596

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Solution

The fourth proportional to 333,809.76, 460,511.28 and 199,596 is: 275,355.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,809.76 : 460,511.28 = 199,596 : x
  2. Step 2: Convert to fraction form
    333,809.76/460,511.28 = 199,596/x
  3. Step 3: Cross multiply
    333,809.76x = 460,511.28 × 199,596
  4. Step 4: Simplify right side
    333,809.76x = 91,916,209,442.88
  5. Step 5: Solve for x
    x = 91,916,209,442.88/333,809.76
  6. Step 6: Final answer
    x = 275,355.07

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1.5x scale

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.