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Finding the Fourth Proportional to 966,133, 1,333,305.18 and 536,413.18

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Solution

The fourth proportional to 966,133, 1,333,305.18 and 536,413.18 is: 740,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    966,133 : 1,333,305.18 = 536,413.18 : x
  2. Step 2: Convert to fraction form
    966,133/1,333,305.18 = 536,413.18/x
  3. Step 3: Cross multiply
    966,133x = 1,333,305.18 × 536,413.18
  4. Step 4: Simplify right side
    966,133x = 715,202,471,514.27
  5. Step 5: Solve for x
    x = 715,202,471,514.27/966,133
  6. Step 6: Final answer
    x = 740,273.31

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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.