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Finding the Fourth Proportional to 471,877.04, 651,167.88 and 257,016.08

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Solution

The fourth proportional to 471,877.04, 651,167.88 and 257,016.08 is: 354,669.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,877.04 : 651,167.88 = 257,016.08 : x
  2. Step 2: Convert to fraction form
    471,877.04/651,167.88 = 257,016.08/x
  3. Step 3: Cross multiply
    471,877.04x = 651,167.88 × 257,016.08
  4. Step 4: Simplify right side
    471,877.04x = 167,360,615,939.51
  5. Step 5: Solve for x
    x = 167,360,615,939.51/471,877.04
  6. Step 6: Final answer
    x = 354,669.97

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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.