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Finding the Fourth Proportional to 294,814.10, 441,200.55 and 176,570.30

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Solution

The fourth proportional to 294,814.10, 441,200.55 and 176,570.30 is: 264,244.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,814.10 : 441,200.55 = 176,570.30 : x
  2. Step 2: Convert to fraction form
    294,814.10/441,200.55 = 176,570.30/x
  3. Step 3: Cross multiply
    294,814.10x = 441,200.55 × 176,570.30
  4. Step 4: Simplify right side
    294,814.10x = 77,902,913,473.67
  5. Step 5: Solve for x
    x = 77,902,913,473.67/294,814.10
  6. Step 6: Final answer
    x = 264,244.19

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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.