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Finding the Fourth Proportional to 398,457.63, 597,510.56 and 114,083.64

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Solution

The fourth proportional to 398,457.63, 597,510.56 and 114,083.64 is: 171,075.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,457.63 : 597,510.56 = 114,083.64 : x
  2. Step 2: Convert to fraction form
    398,457.63/597,510.56 = 114,083.64/x
  3. Step 3: Cross multiply
    398,457.63x = 597,510.56 × 114,083.64
  4. Step 4: Simplify right side
    398,457.63x = 68,166,179,623.24
  5. Step 5: Solve for x
    x = 68,166,179,623.24/398,457.63
  6. Step 6: Final answer
    x = 171,075.10

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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.