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Finding the Fourth Proportional to 343,472.37, 473,681.60 and 214,422.77

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Solution

The fourth proportional to 343,472.37, 473,681.60 and 214,422.77 is: 295,709.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,472.37 : 473,681.60 = 214,422.77 : x
  2. Step 2: Convert to fraction form
    343,472.37/473,681.60 = 214,422.77/x
  3. Step 3: Cross multiply
    343,472.37x = 473,681.60 × 214,422.77
  4. Step 4: Simplify right side
    343,472.37x = 101,568,117,329.51
  5. Step 5: Solve for x
    x = 101,568,117,329.51/343,472.37
  6. Step 6: Final answer
    x = 295,709.72

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1.5x scale

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.