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Finding the Fourth Proportional to 413,413.11, 570,516.08 and 232,164.27

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Solution

The fourth proportional to 413,413.11, 570,516.08 and 232,164.27 is: 320,390.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,413.11 : 570,516.08 = 232,164.27 : x
  2. Step 2: Convert to fraction form
    413,413.11/570,516.08 = 232,164.27/x
  3. Step 3: Cross multiply
    413,413.11x = 570,516.08 × 232,164.27
  4. Step 4: Simplify right side
    413,413.11x = 132,453,448,075.64
  5. Step 5: Solve for x
    x = 132,453,448,075.64/413,413.11
  6. Step 6: Final answer
    x = 320,390.05

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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.