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Finding the Fourth Proportional to 414,653.84, 572,300.60 and 259,677.12

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Solution

The fourth proportional to 414,653.84, 572,300.60 and 259,677.12 is: 358,403.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,653.84 : 572,300.60 = 259,677.12 : x
  2. Step 2: Convert to fraction form
    414,653.84/572,300.60 = 259,677.12/x
  3. Step 3: Cross multiply
    414,653.84x = 572,300.60 × 259,677.12
  4. Step 4: Simplify right side
    414,653.84x = 148,613,371,582.27
  5. Step 5: Solve for x
    x = 148,613,371,582.27/414,653.84
  6. Step 6: Final answer
    x = 358,403.46

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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.