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Finding the Fourth Proportional to 314,804.21, 434,445.21 and 177,026.50

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Solution

The fourth proportional to 314,804.21, 434,445.21 and 177,026.50 is: 244,305.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,804.21 : 434,445.21 = 177,026.50 : x
  2. Step 2: Convert to fraction form
    314,804.21/434,445.21 = 177,026.50/x
  3. Step 3: Cross multiply
    314,804.21x = 434,445.21 × 177,026.50
  4. Step 4: Simplify right side
    314,804.21x = 76,908,316,174.97
  5. Step 5: Solve for x
    x = 76,908,316,174.97/314,804.21
  6. Step 6: Final answer
    x = 244,305.23

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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.