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Finding the Fourth Proportional to 314,526.24, 434,056.32 and 171,292.32

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Solution

The fourth proportional to 314,526.24, 434,056.32 and 171,292.32 is: 236,388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,526.24 : 434,056.32 = 171,292.32 : x
  2. Step 2: Convert to fraction form
    314,526.24/434,056.32 = 171,292.32/x
  3. Step 3: Cross multiply
    314,526.24x = 434,056.32 × 171,292.32
  4. Step 4: Simplify right side
    314,526.24x = 74,350,514,063.46
  5. Step 5: Solve for x
    x = 74,350,514,063.46/314,526.24
  6. Step 6: Final answer
    x = 236,388.91

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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.