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Finding the Fourth Proportional to 513,180.38, 708,210.79 and 286,825.88

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Solution

The fourth proportional to 513,180.38, 708,210.79 and 286,825.88 is: 395,831.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,180.38 : 708,210.79 = 286,825.88 : x
  2. Step 2: Convert to fraction form
    513,180.38/708,210.79 = 286,825.88/x
  3. Step 3: Cross multiply
    513,180.38x = 708,210.79 × 286,825.88
  4. Step 4: Simplify right side
    513,180.38x = 203,133,178,809.13
  5. Step 5: Solve for x
    x = 203,133,178,809.13/513,180.38
  6. Step 6: Final answer
    x = 395,831.93

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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.