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Finding the Fourth Proportional to 529,470, 794,303.40 and 174,508.96

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Solution

The fourth proportional to 529,470, 794,303.40 and 174,508.96 is: 261,795.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,470 : 794,303.40 = 174,508.96 : x
  2. Step 2: Convert to fraction form
    529,470/794,303.40 = 174,508.96/x
  3. Step 3: Cross multiply
    529,470x = 794,303.40 × 174,508.96
  4. Step 4: Simplify right side
    529,470x = 138,613,060,258.46
  5. Step 5: Solve for x
    x = 138,613,060,258.46/529,470
  6. Step 6: Final answer
    x = 261,795.87

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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.