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Finding the Fourth Proportional to 537,402.06, 804,877.65 and 257,117.58

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Solution

The fourth proportional to 537,402.06, 804,877.65 and 257,117.58 is: 385,090.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,402.06 : 804,877.65 = 257,117.58 : x
  2. Step 2: Convert to fraction form
    537,402.06/804,877.65 = 257,117.58/x
  3. Step 3: Cross multiply
    537,402.06x = 804,877.65 × 257,117.58
  4. Step 4: Simplify right side
    537,402.06x = 206,948,193,564.09
  5. Step 5: Solve for x
    x = 206,948,193,564.09/537,402.06
  6. Step 6: Final answer
    x = 385,090.06

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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.