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Finding the Fourth Proportional to 398,663.02, 597,994.53 and 162,024.16

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Solution

The fourth proportional to 398,663.02, 597,994.53 and 162,024.16 is: 243,036.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,663.02 : 597,994.53 = 162,024.16 : x
  2. Step 2: Convert to fraction form
    398,663.02/597,994.53 = 162,024.16/x
  3. Step 3: Cross multiply
    398,663.02x = 597,994.53 × 162,024.16
  4. Step 4: Simplify right side
    398,663.02x = 96,889,561,407.84
  5. Step 5: Solve for x
    x = 96,889,561,407.84/398,663.02
  6. Step 6: Final answer
    x = 243,036.24

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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.