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Finding the Fourth Proportional to 288,415.12, 432,316.32 and 170,142.16

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Solution

The fourth proportional to 288,415.12, 432,316.32 and 170,142.16 is: 255,032.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,415.12 : 432,316.32 = 170,142.16 : x
  2. Step 2: Convert to fraction form
    288,415.12/432,316.32 = 170,142.16/x
  3. Step 3: Cross multiply
    288,415.12x = 432,316.32 × 170,142.16
  4. Step 4: Simplify right side
    288,415.12x = 73,555,232,488.05
  5. Step 5: Solve for x
    x = 73,555,232,488.05/288,415.12
  6. Step 6: Final answer
    x = 255,032.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.