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Finding the Fourth Proportional to 415,214.70, 569,258.91 and 407,647.68

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Solution

The fourth proportional to 415,214.70, 569,258.91 and 407,647.68 is: 558,884.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,214.70 : 569,258.91 = 407,647.68 : x
  2. Step 2: Convert to fraction form
    415,214.70/569,258.91 = 407,647.68/x
  3. Step 3: Cross multiply
    415,214.70x = 569,258.91 × 407,647.68
  4. Step 4: Simplify right side
    415,214.70x = 232,057,073,980.83
  5. Step 5: Solve for x
    x = 232,057,073,980.83/415,214.70
  6. Step 6: Final answer
    x = 558,884.53

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.