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Finding the Fourth Proportional to 413,030.58, 619,610.70 and 176,374.50

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Solution

The fourth proportional to 413,030.58, 619,610.70 and 176,374.50 is: 264,589.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    413,030.58 : 619,610.70 = 176,374.50 : x
  2. Step 2: Convert to fraction form
    413,030.58/619,610.70 = 176,374.50/x
  3. Step 3: Cross multiply
    413,030.58x = 619,610.70 × 176,374.50
  4. Step 4: Simplify right side
    413,030.58x = 109,283,527,407.15
  5. Step 5: Solve for x
    x = 109,283,527,407.15/413,030.58
  6. Step 6: Final answer
    x = 264,589.43

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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.