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Finding the Fourth Proportional to 295,152.94, 407,309.07 and 167,828.50

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Solution

The fourth proportional to 295,152.94, 407,309.07 and 167,828.50 is: 231,602.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,152.94 : 407,309.07 = 167,828.50 : x
  2. Step 2: Convert to fraction form
    295,152.94/407,309.07 = 167,828.50/x
  3. Step 3: Cross multiply
    295,152.94x = 407,309.07 × 167,828.50
  4. Step 4: Simplify right side
    295,152.94x = 68,358,070,254.50
  5. Step 5: Solve for x
    x = 68,358,070,254.50/295,152.94
  6. Step 6: Final answer
    x = 231,602.20

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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.