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Finding the Fourth Proportional to 413,726.73, 570,804.73 and 232,413.49

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Solution

The fourth proportional to 413,726.73, 570,804.73 and 232,413.49 is: 320,653.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,726.73 : 570,804.73 = 232,413.49 : x
  2. Step 2: Convert to fraction form
    413,726.73/570,804.73 = 232,413.49/x
  3. Step 3: Cross multiply
    413,726.73x = 570,804.73 × 232,413.49
  4. Step 4: Simplify right side
    413,726.73x = 132,662,719,407.81
  5. Step 5: Solve for x
    x = 132,662,719,407.81/413,726.73
  6. Step 6: Final answer
    x = 320,653.01

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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.