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Finding the Fourth Proportional to 314,152.92, 471,322.26 and 181,128.60

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Solution

The fourth proportional to 314,152.92, 471,322.26 and 181,128.60 is: 271,746.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,152.92 : 471,322.26 = 181,128.60 : x
  2. Step 2: Convert to fraction form
    314,152.92/471,322.26 = 181,128.60/x
  3. Step 3: Cross multiply
    314,152.92x = 471,322.26 × 181,128.60
  4. Step 4: Simplify right side
    314,152.92x = 85,369,941,102.64
  5. Step 5: Solve for x
    x = 85,369,941,102.64/314,152.92
  6. Step 6: Final answer
    x = 271,746.45

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Why These Related Problems?

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