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Finding the Fourth Proportional to 406,030.93, 560,323.74 and 224,755.36

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Solution

The fourth proportional to 406,030.93, 560,323.74 and 224,755.36 is: 310,162.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,030.93 : 560,323.74 = 224,755.36 : x
  2. Step 2: Convert to fraction form
    406,030.93/560,323.74 = 224,755.36/x
  3. Step 3: Cross multiply
    406,030.93x = 560,323.74 × 224,755.36
  4. Step 4: Simplify right side
    406,030.93x = 125,935,763,342.27
  5. Step 5: Solve for x
    x = 125,935,763,342.27/406,030.93
  6. Step 6: Final answer
    x = 310,162.98

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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.