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Finding the Fourth Proportional to 299,619.51, 413,472.47 and 163,653.55

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Solution

The fourth proportional to 299,619.51, 413,472.47 and 163,653.55 is: 225,840.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,619.51 : 413,472.47 = 163,653.55 : x
  2. Step 2: Convert to fraction form
    299,619.51/413,472.47 = 163,653.55/x
  3. Step 3: Cross multiply
    299,619.51x = 413,472.47 × 163,653.55
  4. Step 4: Simplify right side
    299,619.51x = 67,666,237,071.65
  5. Step 5: Solve for x
    x = 67,666,237,071.65/299,619.51
  6. Step 6: Final answer
    x = 225,840.55

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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.