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Finding the Fourth Proportional to 457,094.96, 685,725.96 and 141,530.48

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Solution

The fourth proportional to 457,094.96, 685,725.96 and 141,530.48 is: 212,321.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,094.96 : 685,725.96 = 141,530.48 : x
  2. Step 2: Convert to fraction form
    457,094.96/685,725.96 = 141,530.48/x
  3. Step 3: Cross multiply
    457,094.96x = 685,725.96 × 141,530.48
  4. Step 4: Simplify right side
    457,094.96x = 97,051,124,267.26
  5. Step 5: Solve for x
    x = 97,051,124,267.26/457,094.96
  6. Step 6: Final answer
    x = 212,321.58

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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.