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Finding the Fourth Proportional to 392,038.51, 587,899.46 and 152,026.04

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Solution

The fourth proportional to 392,038.51, 587,899.46 and 152,026.04 is: 227,977.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,038.51 : 587,899.46 = 152,026.04 : x
  2. Step 2: Convert to fraction form
    392,038.51/587,899.46 = 152,026.04/x
  3. Step 3: Cross multiply
    392,038.51x = 587,899.46 × 152,026.04
  4. Step 4: Simplify right side
    392,038.51x = 89,376,024,262.51
  5. Step 5: Solve for x
    x = 89,376,024,262.51/392,038.51
  6. Step 6: Final answer
    x = 227,977.67

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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.