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Finding the Fourth Proportional to 398,386.71, 597,404.25 and 114,012.51

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Solution

The fourth proportional to 398,386.71, 597,404.25 and 114,012.51 is: 170,968.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,386.71 : 597,404.25 = 114,012.51 : x
  2. Step 2: Convert to fraction form
    398,386.71/597,404.25 = 114,012.51/x
  3. Step 3: Cross multiply
    398,386.71x = 597,404.25 × 114,012.51
  4. Step 4: Simplify right side
    398,386.71x = 68,111,558,027.17
  5. Step 5: Solve for x
    x = 68,111,558,027.17/398,386.71
  6. Step 6: Final answer
    x = 170,968.45

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.