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Finding the Fourth Proportional to 310,921.07, 429,071.58 and 174,962.57

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Solution

The fourth proportional to 310,921.07, 429,071.58 and 174,962.57 is: 241,448.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,921.07 : 429,071.58 = 174,962.57 : x
  2. Step 2: Convert to fraction form
    310,921.07/429,071.58 = 174,962.57/x
  3. Step 3: Cross multiply
    310,921.07x = 429,071.58 × 174,962.57
  4. Step 4: Simplify right side
    310,921.07x = 75,071,464,205.40
  5. Step 5: Solve for x
    x = 75,071,464,205.40/310,921.07
  6. Step 6: Final answer
    x = 241,448.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.