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Finding the Fourth Proportional to 406,535.52, 561,000.12 and 222,773

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Solution

The fourth proportional to 406,535.52, 561,000.12 and 222,773 is: 307,416.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,535.52 : 561,000.12 = 222,773 : x
  2. Step 2: Convert to fraction form
    406,535.52/561,000.12 = 222,773/x
  3. Step 3: Cross multiply
    406,535.52x = 561,000.12 × 222,773
  4. Step 4: Simplify right side
    406,535.52x = 124,975,679,732.76
  5. Step 5: Solve for x
    x = 124,975,679,732.76/406,535.52
  6. Step 6: Final answer
    x = 307,416.38

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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.