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Finding the Fourth Proportional to 514,629.72, 709,302.35 and 342,239.58

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Solution

The fourth proportional to 514,629.72, 709,302.35 and 342,239.58 is: 471,700.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    514,629.72 : 709,302.35 = 342,239.58 : x
  2. Step 2: Convert to fraction form
    514,629.72/709,302.35 = 342,239.58/x
  3. Step 3: Cross multiply
    514,629.72x = 709,302.35 × 342,239.58
  4. Step 4: Simplify right side
    514,629.72x = 242,751,339,212.61
  5. Step 5: Solve for x
    x = 242,751,339,212.61/514,629.72
  6. Step 6: Final answer
    x = 471,700.97

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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.