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Finding the Fourth Proportional to 406,181.34, 560,547.75 and 224,893.26

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Solution

The fourth proportional to 406,181.34, 560,547.75 and 224,893.26 is: 310,362.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,181.34 : 560,547.75 = 224,893.26 : x
  2. Step 2: Convert to fraction form
    406,181.34/560,547.75 = 224,893.26/x
  3. Step 3: Cross multiply
    406,181.34x = 560,547.75 × 224,893.26
  4. Step 4: Simplify right side
    406,181.34x = 126,063,410,883.17
  5. Step 5: Solve for x
    x = 126,063,410,883.17/406,181.34
  6. Step 6: Final answer
    x = 310,362.39

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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.