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Finding the Fourth Proportional to 310,300.47, 465,016.75 and 167,838.08

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Solution

The fourth proportional to 310,300.47, 465,016.75 and 167,838.08 is: 251,522.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,300.47 : 465,016.75 = 167,838.08 : x
  2. Step 2: Convert to fraction form
    310,300.47/465,016.75 = 167,838.08/x
  3. Step 3: Cross multiply
    310,300.47x = 465,016.75 × 167,838.08
  4. Step 4: Simplify right side
    310,300.47x = 78,047,515,743.16
  5. Step 5: Solve for x
    x = 78,047,515,743.16/310,300.47
  6. Step 6: Final answer
    x = 251,522.39

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1.5x scale

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.