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Finding the Fourth Proportional to 407,766.38, 562,702.04 and 226,489.94

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Solution

The fourth proportional to 407,766.38, 562,702.04 and 226,489.94 is: 312,547.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,766.38 : 562,702.04 = 226,489.94 : x
  2. Step 2: Convert to fraction form
    407,766.38/562,702.04 = 226,489.94/x
  3. Step 3: Cross multiply
    407,766.38x = 562,702.04 × 226,489.94
  4. Step 4: Simplify right side
    407,766.38x = 127,446,351,277.48
  5. Step 5: Solve for x
    x = 127,446,351,277.48/407,766.38
  6. Step 6: Final answer
    x = 312,547.47

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1.5x scale

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.