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Finding the Fourth Proportional to 595,456, 893,182.62 and 258,452.98

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Solution

The fourth proportional to 595,456, 893,182.62 and 258,452.98 is: 387,678.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    595,456 : 893,182.62 = 258,452.98 : x
  2. Step 2: Convert to fraction form
    595,456/893,182.62 = 258,452.98/x
  3. Step 3: Cross multiply
    595,456x = 893,182.62 × 258,452.98
  4. Step 4: Simplify right side
    595,456x = 230,845,709,823.21
  5. Step 5: Solve for x
    x = 230,845,709,823.21/595,456
  6. Step 6: Final answer
    x = 387,678.87

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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.