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Finding the Fourth Proportional to 390,291.87, 538,405.47 and 261,235.83

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Solution

The fourth proportional to 390,291.87, 538,405.47 and 261,235.83 is: 360,373.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,291.87 : 538,405.47 = 261,235.83 : x
  2. Step 2: Convert to fraction form
    390,291.87/538,405.47 = 261,235.83/x
  3. Step 3: Cross multiply
    390,291.87x = 538,405.47 × 261,235.83
  4. Step 4: Simplify right side
    390,291.87x = 140,650,799,831.99
  5. Step 5: Solve for x
    x = 140,650,799,831.99/390,291.87
  6. Step 6: Final answer
    x = 360,373.38

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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.