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Finding the Fourth Proportional to 299,323.51, 413,012.05 and 176,835.83

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Solution

The fourth proportional to 299,323.51, 413,012.05 and 176,835.83 is: 244,001.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,323.51 : 413,012.05 = 176,835.83 : x
  2. Step 2: Convert to fraction form
    299,323.51/413,012.05 = 176,835.83/x
  3. Step 3: Cross multiply
    299,323.51x = 413,012.05 × 176,835.83
  4. Step 4: Simplify right side
    299,323.51x = 73,035,328,661.75
  5. Step 5: Solve for x
    x = 73,035,328,661.75/299,323.51
  6. Step 6: Final answer
    x = 244,001.31

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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.