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Finding the Fourth Proportional to 417,702.06, 576,413.40 and 226,711.35

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Solution

The fourth proportional to 417,702.06, 576,413.40 and 226,711.35 is: 312,853.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,702.06 : 576,413.40 = 226,711.35 : x
  2. Step 2: Convert to fraction form
    417,702.06/576,413.40 = 226,711.35/x
  3. Step 3: Cross multiply
    417,702.06x = 576,413.40 × 226,711.35
  4. Step 4: Simplify right side
    417,702.06x = 130,679,460,072.09
  5. Step 5: Solve for x
    x = 130,679,460,072.09/417,702.06
  6. Step 6: Final answer
    x = 312,853.28

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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.