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Finding the Fourth Proportional to 295,151.40, 407,307.04 and 167,827

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Solution

The fourth proportional to 295,151.40, 407,307.04 and 167,827 is: 231,600.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    295,151.40 : 407,307.04 = 167,827 : x
  2. Step 2: Convert to fraction form
    295,151.40/407,307.04 = 167,827/x
  3. Step 3: Cross multiply
    295,151.40x = 407,307.04 × 167,827
  4. Step 4: Simplify right side
    295,151.40x = 68,357,118,602.08
  5. Step 5: Solve for x
    x = 68,357,118,602.08/295,151.40
  6. Step 6: Final answer
    x = 231,600.18

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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.