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Finding the Fourth Proportional to 463,953.07, 695,732.64 and 164,509.03

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Solution

The fourth proportional to 463,953.07, 695,732.64 and 164,509.03 is: 246,693.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,953.07 : 695,732.64 = 164,509.03 : x
  2. Step 2: Convert to fraction form
    463,953.07/695,732.64 = 164,509.03/x
  3. Step 3: Cross multiply
    463,953.07x = 695,732.64 × 164,509.03
  4. Step 4: Simplify right side
    463,953.07x = 114,454,301,745.74
  5. Step 5: Solve for x
    x = 114,454,301,745.74/463,953.07
  6. Step 6: Final answer
    x = 246,693.70

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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.