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Finding the Fourth Proportional to 506,196.95, 759,505.01 and 221,740.54

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Solution

The fourth proportional to 506,196.95, 759,505.01 and 221,740.54 is: 332,702.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,196.95 : 759,505.01 = 221,740.54 : x
  2. Step 2: Convert to fraction form
    506,196.95/759,505.01 = 221,740.54/x
  3. Step 3: Cross multiply
    506,196.95x = 759,505.01 × 221,740.54
  4. Step 4: Simplify right side
    506,196.95x = 168,413,048,042.64
  5. Step 5: Solve for x
    x = 168,413,048,042.64/506,196.95
  6. Step 6: Final answer
    x = 332,702.62

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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.