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Finding the Fourth Proportional to 546,851.49, 754,597.74 and 301,831.74

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Solution

The fourth proportional to 546,851.49, 754,597.74 and 301,831.74 is: 416,496.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,851.49 : 754,597.74 = 301,831.74 : x
  2. Step 2: Convert to fraction form
    546,851.49/754,597.74 = 301,831.74/x
  3. Step 3: Cross multiply
    546,851.49x = 754,597.74 × 301,831.74
  4. Step 4: Simplify right side
    546,851.49x = 227,761,548,864.27
  5. Step 5: Solve for x
    x = 227,761,548,864.27/546,851.49
  6. Step 6: Final answer
    x = 416,496.17

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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.