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Finding the Fourth Proportional to 514,463.34, 709,831.17 and 296,738.58

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Solution

The fourth proportional to 514,463.34, 709,831.17 and 296,738.58 is: 409,425.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,463.34 : 709,831.17 = 296,738.58 : x
  2. Step 2: Convert to fraction form
    514,463.34/709,831.17 = 296,738.58/x
  3. Step 3: Cross multiply
    514,463.34x = 709,831.17 × 296,738.58
  4. Step 4: Simplify right side
    514,463.34x = 210,634,293,425.54
  5. Step 5: Solve for x
    x = 210,634,293,425.54/514,463.34
  6. Step 6: Final answer
    x = 409,425.27

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.