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Finding the Fourth Proportional to 310,574.89, 465,971.69 and 152,914.06

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Solution

The fourth proportional to 310,574.89, 465,971.69 and 152,914.06 is: 229,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,574.89 : 465,971.69 = 152,914.06 : x
  2. Step 2: Convert to fraction form
    310,574.89/465,971.69 = 152,914.06/x
  3. Step 3: Cross multiply
    310,574.89x = 465,971.69 × 152,914.06
  4. Step 4: Simplify right side
    310,574.89x = 71,253,622,962.96
  5. Step 5: Solve for x
    x = 71,253,622,962.96/310,574.89
  6. Step 6: Final answer
    x = 229,424.93

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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.