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Finding the Fourth Proportional to 531,810.56, 797,722.80 and 176,824.59

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Solution

The fourth proportional to 531,810.56, 797,722.80 and 176,824.59 is: 265,239.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,810.56 : 797,722.80 = 176,824.59 : x
  2. Step 2: Convert to fraction form
    531,810.56/797,722.80 = 176,824.59/x
  3. Step 3: Cross multiply
    531,810.56x = 797,722.80 × 176,824.59
  4. Step 4: Simplify right side
    531,810.56x = 141,057,003,389.10
  5. Step 5: Solve for x
    x = 141,057,003,389.10/531,810.56
  6. Step 6: Final answer
    x = 265,239.19

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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.