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Finding the Fourth Proportional to 586,986.80, 880,825.80 and 213,047.60

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Solution

The fourth proportional to 586,986.80, 880,825.80 and 213,047.60 is: 319,696.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    586,986.80 : 880,825.80 = 213,047.60 : x
  2. Step 2: Convert to fraction form
    586,986.80/880,825.80 = 213,047.60/x
  3. Step 3: Cross multiply
    586,986.80x = 880,825.80 × 213,047.60
  4. Step 4: Simplify right side
    586,986.80x = 187,657,822,708.08
  5. Step 5: Solve for x
    x = 187,657,822,708.08/586,986.80
  6. Step 6: Final answer
    x = 319,696.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.