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Finding the Fourth Proportional to 596,454, 823,123.80 and 328,182

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Solution

The fourth proportional to 596,454, 823,123.80 and 328,182 is: 452,900.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,454 : 823,123.80 = 328,182 : x
  2. Step 2: Convert to fraction form
    596,454/823,123.80 = 328,182/x
  3. Step 3: Cross multiply
    596,454x = 823,123.80 × 328,182
  4. Step 4: Simplify right side
    596,454x = 270,134,414,931.60
  5. Step 5: Solve for x
    x = 270,134,414,931.60/596,454
  6. Step 6: Final answer
    x = 452,900.67

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.