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Finding the Fourth Proportional to 473,164.25, 709,858.25 and 153,315.59

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Solution

The fourth proportional to 473,164.25, 709,858.25 and 153,315.59 is: 230,009.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,164.25 : 709,858.25 = 153,315.59 : x
  2. Step 2: Convert to fraction form
    473,164.25/709,858.25 = 153,315.59/x
  3. Step 3: Cross multiply
    473,164.25x = 709,858.25 × 153,315.59
  4. Step 4: Simplify right side
    473,164.25x = 108,832,336,415.12
  5. Step 5: Solve for x
    x = 108,832,336,415.12/473,164.25
  6. Step 6: Final answer
    x = 230,009.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.