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Finding the Fourth Proportional to 473,858.91, 710,361.63 and 174,275.42

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Solution

The fourth proportional to 473,858.91, 710,361.63 and 174,275.42 is: 261,256.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,858.91 : 710,361.63 = 174,275.42 : x
  2. Step 2: Convert to fraction form
    473,858.91/710,361.63 = 174,275.42/x
  3. Step 3: Cross multiply
    473,858.91x = 710,361.63 × 174,275.42
  4. Step 4: Simplify right side
    473,858.91x = 123,798,567,868.33
  5. Step 5: Solve for x
    x = 123,798,567,868.33/473,858.91
  6. Step 6: Final answer
    x = 261,256.18

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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.