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Finding the Fourth Proportional to 369,337.56, 509,726.33 and 214,323.00

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Solution

The fourth proportional to 369,337.56, 509,726.33 and 214,323.00 is: 295,789.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,337.56 : 509,726.33 = 214,323.00 : x
  2. Step 2: Convert to fraction form
    369,337.56/509,726.33 = 214,323.00/x
  3. Step 3: Cross multiply
    369,337.56x = 509,726.33 × 214,323.00
  4. Step 4: Simplify right side
    369,337.56x = 109,246,072,604.34
  5. Step 5: Solve for x
    x = 109,246,072,604.34/369,337.56
  6. Step 6: Final answer
    x = 295,789.23

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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.