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Finding the Fourth Proportional to 658,740.42, 908,727.93 and 416,615.22

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Solution

The fourth proportional to 658,740.42, 908,727.93 and 416,615.22 is: 574,717.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,740.42 : 908,727.93 = 416,615.22 : x
  2. Step 2: Convert to fraction form
    658,740.42/908,727.93 = 416,615.22/x
  3. Step 3: Cross multiply
    658,740.42x = 908,727.93 × 416,615.22
  4. Step 4: Simplify right side
    658,740.42x = 378,589,886,477.10
  5. Step 5: Solve for x
    x = 378,589,886,477.10/658,740.42
  6. Step 6: Final answer
    x = 574,717.86

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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.