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Finding the Fourth Proportional to 406,055.93, 560,350.40 and 224,763.98

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Solution

The fourth proportional to 406,055.93, 560,350.40 and 224,763.98 is: 310,170.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,055.93 : 560,350.40 = 224,763.98 : x
  2. Step 2: Convert to fraction form
    406,055.93/560,350.40 = 224,763.98/x
  3. Step 3: Cross multiply
    406,055.93x = 560,350.40 × 224,763.98
  4. Step 4: Simplify right side
    406,055.93x = 125,946,582,173.02
  5. Step 5: Solve for x
    x = 125,946,582,173.02/406,055.93
  6. Step 6: Final answer
    x = 310,170.53

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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.