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Finding the Fourth Proportional to 413,413.61, 570,516.77 and 232,164.77

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Solution

The fourth proportional to 413,413.61, 570,516.77 and 232,164.77 is: 320,390.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,413.61 : 570,516.77 = 232,164.77 : x
  2. Step 2: Convert to fraction form
    413,413.61/570,516.77 = 232,164.77/x
  3. Step 3: Cross multiply
    413,413.61x = 570,516.77 × 232,164.77
  4. Step 4: Simplify right side
    413,413.61x = 132,453,893,527.37
  5. Step 5: Solve for x
    x = 132,453,893,527.37/413,413.61
  6. Step 6: Final answer
    x = 320,390.74

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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.