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Finding the Fourth Proportional to 406,235.51, 560,598.14 and 224,943.54

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Solution

The fourth proportional to 406,235.51, 560,598.14 and 224,943.54 is: 310,418.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,235.51 : 560,598.14 = 224,943.54 : x
  2. Step 2: Convert to fraction form
    406,235.51/560,598.14 = 224,943.54/x
  3. Step 3: Cross multiply
    406,235.51x = 560,598.14 × 224,943.54
  4. Step 4: Simplify right side
    406,235.51x = 126,102,930,129.02
  5. Step 5: Solve for x
    x = 126,102,930,129.02/406,235.51
  6. Step 6: Final answer
    x = 310,418.28

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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.