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Finding the Fourth Proportional to 314,295.72, 433,726.80 and 171,055.74

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Solution

The fourth proportional to 314,295.72, 433,726.80 and 171,055.74 is: 236,056.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,295.72 : 433,726.80 = 171,055.74 : x
  2. Step 2: Convert to fraction form
    314,295.72/433,726.80 = 171,055.74/x
  3. Step 3: Cross multiply
    314,295.72x = 433,726.80 × 171,055.74
  4. Step 4: Simplify right side
    314,295.72x = 74,191,458,731.83
  5. Step 5: Solve for x
    x = 74,191,458,731.83/314,295.72
  6. Step 6: Final answer
    x = 236,056.22

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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.