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Finding the Fourth Proportional to 406,416.84, 560,848.86 and 222,653.95

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Solution

The fourth proportional to 406,416.84, 560,848.86 and 222,653.95 is: 307,258.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,416.84 : 560,848.86 = 222,653.95 : x
  2. Step 2: Convert to fraction form
    406,416.84/560,848.86 = 222,653.95/x
  3. Step 3: Cross multiply
    406,416.84x = 560,848.86 × 222,653.95
  4. Step 4: Simplify right side
    406,416.84x = 124,875,214,032.00
  5. Step 5: Solve for x
    x = 124,875,214,032.00/406,416.84
  6. Step 6: Final answer
    x = 307,258.96

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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.