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Finding the Fourth Proportional to 365,557.74, 504,466.82 and 204,413.10

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Solution

The fourth proportional to 365,557.74, 504,466.82 and 204,413.10 is: 282,088.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    365,557.74 : 504,466.82 = 204,413.10 : x
  2. Step 2: Convert to fraction form
    365,557.74/504,466.82 = 204,413.10/x
  3. Step 3: Cross multiply
    365,557.74x = 504,466.82 × 204,413.10
  4. Step 4: Simplify right side
    365,557.74x = 103,119,626,523.34
  5. Step 5: Solve for x
    x = 103,119,626,523.34/365,557.74
  6. Step 6: Final answer
    x = 282,088.48

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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.