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Finding the Fourth Proportional to 398,875.17, 597,977.10 and 185,534.67

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Solution

The fourth proportional to 398,875.17, 597,977.10 and 185,534.67 is: 278,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,875.17 : 597,977.10 = 185,534.67 : x
  2. Step 2: Convert to fraction form
    398,875.17/597,977.10 = 185,534.67/x
  3. Step 3: Cross multiply
    398,875.17x = 597,977.10 × 185,534.67
  4. Step 4: Simplify right side
    398,875.17x = 110,945,483,916.06
  5. Step 5: Solve for x
    x = 110,945,483,916.06/398,875.17
  6. Step 6: Final answer
    x = 278,145.88

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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.