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Finding the Fourth Proportional to 616,930.48, 851,022.12 and 358,779.16

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Solution

The fourth proportional to 616,930.48, 851,022.12 and 358,779.16 is: 494,916.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,930.48 : 851,022.12 = 358,779.16 : x
  2. Step 2: Convert to fraction form
    616,930.48/851,022.12 = 358,779.16/x
  3. Step 3: Cross multiply
    616,930.48x = 851,022.12 × 358,779.16
  4. Step 4: Simplify right side
    616,930.48x = 305,329,001,355.02
  5. Step 5: Solve for x
    x = 305,329,001,355.02/616,930.48
  6. Step 6: Final answer
    x = 494,916.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.