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Finding the Fourth Proportional to 398,192.51, 597,052.58 and 158,177.45

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Solution

The fourth proportional to 398,192.51, 597,052.58 and 158,177.45 is: 237,172.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,192.51 : 597,052.58 = 158,177.45 : x
  2. Step 2: Convert to fraction form
    398,192.51/597,052.58 = 158,177.45/x
  3. Step 3: Cross multiply
    398,192.51x = 597,052.58 × 158,177.45
  4. Step 4: Simplify right side
    398,192.51x = 94,440,255,322.07
  5. Step 5: Solve for x
    x = 94,440,255,322.07/398,192.51
  6. Step 6: Final answer
    x = 237,172.35

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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.