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Finding the Fourth Proportional to 556,266.34, 834,123.47 and 177,137.67

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Solution

The fourth proportional to 556,266.34, 834,123.47 and 177,137.67 is: 265,618.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    556,266.34 : 834,123.47 = 177,137.67 : x
  2. Step 2: Convert to fraction form
    556,266.34/834,123.47 = 177,137.67/x
  3. Step 3: Cross multiply
    556,266.34x = 834,123.47 × 177,137.67
  4. Step 4: Simplify right side
    556,266.34x = 147,754,687,082.43
  5. Step 5: Solve for x
    x = 147,754,687,082.43/556,266.34
  6. Step 6: Final answer
    x = 265,618.60

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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.