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Finding the Fourth Proportional to 616,431.55, 924,610.42 and 256,511.50

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Solution

The fourth proportional to 616,431.55, 924,610.42 and 256,511.50 is: 384,751.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,431.55 : 924,610.42 = 256,511.50 : x
  2. Step 2: Convert to fraction form
    616,431.55/924,610.42 = 256,511.50/x
  3. Step 3: Cross multiply
    616,431.55x = 924,610.42 × 256,511.50
  4. Step 4: Simplify right side
    616,431.55x = 237,173,205,749.83
  5. Step 5: Solve for x
    x = 237,173,205,749.83/616,431.55
  6. Step 6: Final answer
    x = 384,751.89

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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.