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Finding the Fourth Proportional to 415,079.93, 569,074.06 and 407,513.11

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Solution

The fourth proportional to 415,079.93, 569,074.06 and 407,513.11 is: 558,699.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,079.93 : 569,074.06 = 407,513.11 : x
  2. Step 2: Convert to fraction form
    415,079.93/569,074.06 = 407,513.11/x
  3. Step 3: Cross multiply
    415,079.93x = 569,074.06 × 407,513.11
  4. Step 4: Simplify right side
    415,079.93x = 231,905,140,010.93
  5. Step 5: Solve for x
    x = 231,905,140,010.93/415,079.93
  6. Step 6: Final answer
    x = 558,699.96

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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.