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Finding the Fourth Proportional to 315,038.72, 434,740.32 and 171,796.16

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Solution

The fourth proportional to 315,038.72, 434,740.32 and 171,796.16 is: 237,071.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,038.72 : 434,740.32 = 171,796.16 : x
  2. Step 2: Convert to fraction form
    315,038.72/434,740.32 = 171,796.16/x
  3. Step 3: Cross multiply
    315,038.72x = 434,740.32 × 171,796.16
  4. Step 4: Simplify right side
    315,038.72x = 74,686,717,573.17
  5. Step 5: Solve for x
    x = 74,686,717,573.17/315,038.72
  6. Step 6: Final answer
    x = 237,071.55

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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.