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Finding the Fourth Proportional to 385,336.83, 578,007.63 and 101,024.82

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Solution

The fourth proportional to 385,336.83, 578,007.63 and 101,024.82 is: 151,537.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,336.83 : 578,007.63 = 101,024.82 : x
  2. Step 2: Convert to fraction form
    385,336.83/578,007.63 = 101,024.82/x
  3. Step 3: Cross multiply
    385,336.83x = 578,007.63 × 101,024.82
  4. Step 4: Simplify right side
    385,336.83x = 58,393,116,779.38
  5. Step 5: Solve for x
    x = 58,393,116,779.38/385,336.83
  6. Step 6: Final answer
    x = 151,537.86

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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.