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Finding the Fourth Proportional to 431,831.70, 596,205.10 and 270,907.38

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Solution

The fourth proportional to 431,831.70, 596,205.10 and 270,907.38 is: 374,026.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,831.70 : 596,205.10 = 270,907.38 : x
  2. Step 2: Convert to fraction form
    431,831.70/596,205.10 = 270,907.38/x
  3. Step 3: Cross multiply
    431,831.70x = 596,205.10 × 270,907.38
  4. Step 4: Simplify right side
    431,831.70x = 161,516,361,583.64
  5. Step 5: Solve for x
    x = 161,516,361,583.64/431,831.70
  6. Step 6: Final answer
    x = 374,026.18

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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.