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Finding the Fourth Proportional to 344,583.72, 516,875.58 and 157,464

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Solution

The fourth proportional to 344,583.72, 516,875.58 and 157,464 is: 236,196

Step by Step Solution

  1. Step 1: Write the proportion equation
    344,583.72 : 516,875.58 = 157,464 : x
  2. Step 2: Convert to fraction form
    344,583.72/516,875.58 = 157,464/x
  3. Step 3: Cross multiply
    344,583.72x = 516,875.58 × 157,464
  4. Step 4: Simplify right side
    344,583.72x = 81,389,296,329.12
  5. Step 5: Solve for x
    x = 81,389,296,329.12/344,583.72
  6. Step 6: Final answer
    x = 236,196

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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.