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Finding the Fourth Proportional to 417,743.40, 626,615.10 and 410,831.40

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Solution

The fourth proportional to 417,743.40, 626,615.10 and 410,831.40 is: 616,247.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    417,743.40 : 626,615.10 = 410,831.40 : x
  2. Step 2: Convert to fraction form
    417,743.40/626,615.10 = 410,831.40/x
  3. Step 3: Cross multiply
    417,743.40x = 626,615.10 × 410,831.40
  4. Step 4: Simplify right side
    417,743.40x = 257,433,158,794.14
  5. Step 5: Solve for x
    x = 257,433,158,794.14/417,743.40
  6. Step 6: Final answer
    x = 616,247.10

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.