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Finding the Fourth Proportional to 452,064.23, 678,096.32 and 352,299.08

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Solution

The fourth proportional to 452,064.23, 678,096.32 and 352,299.08 is: 528,448.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,064.23 : 678,096.32 = 352,299.08 : x
  2. Step 2: Convert to fraction form
    452,064.23/678,096.32 = 352,299.08/x
  3. Step 3: Cross multiply
    452,064.23x = 678,096.32 × 352,299.08
  4. Step 4: Simplify right side
    452,064.23x = 238,892,704,535.41
  5. Step 5: Solve for x
    x = 238,892,704,535.41/452,064.23
  6. Step 6: Final answer
    x = 528,448.59

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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.