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Finding the Fourth Proportional to 406,461.81, 560,917.32 and 222,701.16

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Solution

The fourth proportional to 406,461.81, 560,917.32 and 222,701.16 is: 307,327.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,461.81 : 560,917.32 = 222,701.16 : x
  2. Step 2: Convert to fraction form
    406,461.81/560,917.32 = 222,701.16/x
  3. Step 3: Cross multiply
    406,461.81x = 560,917.32 × 222,701.16
  4. Step 4: Simplify right side
    406,461.81x = 124,916,937,828.09
  5. Step 5: Solve for x
    x = 124,916,937,828.09/406,461.81
  6. Step 6: Final answer
    x = 307,327.61

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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.