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Finding the Fourth Proportional to 333,947.16, 460,894.32 and 206,663.76

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Solution

The fourth proportional to 333,947.16, 460,894.32 and 206,663.76 is: 285,225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    333,947.16 : 460,894.32 = 206,663.76 : x
  2. Step 2: Convert to fraction form
    333,947.16/460,894.32 = 206,663.76/x
  3. Step 3: Cross multiply
    333,947.16x = 460,894.32 × 206,663.76
  4. Step 4: Simplify right side
    333,947.16x = 95,250,153,133.84
  5. Step 5: Solve for x
    x = 95,250,153,133.84/333,947.16
  6. Step 6: Final answer
    x = 285,225.22

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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.