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Finding the Fourth Proportional to 595,760.16, 893,138.00 and 258,546.80

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Solution

The fourth proportional to 595,760.16, 893,138.00 and 258,546.80 is: 387,602.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,760.16 : 893,138.00 = 258,546.80 : x
  2. Step 2: Convert to fraction form
    595,760.16/893,138.00 = 258,546.80/x
  3. Step 3: Cross multiply
    595,760.16x = 893,138.00 × 258,546.80
  4. Step 4: Simplify right side
    595,760.16x = 230,917,969,030.59
  5. Step 5: Solve for x
    x = 230,917,969,030.59/595,760.16
  6. Step 6: Final answer
    x = 387,602.24

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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.