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Finding the Fourth Proportional to 531,830.34, 797,752.53 and 176,844.42

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Solution

The fourth proportional to 531,830.34, 797,752.53 and 176,844.42 is: 265,268.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,830.34 : 797,752.53 = 176,844.42 : x
  2. Step 2: Convert to fraction form
    531,830.34/797,752.53 = 176,844.42/x
  3. Step 3: Cross multiply
    531,830.34x = 797,752.53 × 176,844.42
  4. Step 4: Simplify right side
    531,830.34x = 141,078,083,471.38
  5. Step 5: Solve for x
    x = 141,078,083,471.38/531,830.34
  6. Step 6: Final answer
    x = 265,268.96

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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.