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Finding the Fourth Proportional to 601,381.26, 829,884.47 and 343,271.52

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Solution

The fourth proportional to 601,381.26, 829,884.47 and 343,271.52 is: 473,702.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,381.26 : 829,884.47 = 343,271.52 : x
  2. Step 2: Convert to fraction form
    601,381.26/829,884.47 = 343,271.52/x
  3. Step 3: Cross multiply
    601,381.26x = 829,884.47 × 343,271.52
  4. Step 4: Simplify right side
    601,381.26x = 284,875,703,441.29
  5. Step 5: Solve for x
    x = 284,875,703,441.29/601,381.26
  6. Step 6: Final answer
    x = 473,702.33

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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.