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Finding the Fourth Proportional to 294,133.40, 441,734.70 and 176,035.40

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Solution

The fourth proportional to 294,133.40, 441,734.70 and 176,035.40 is: 264,373.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,133.40 : 441,734.70 = 176,035.40 : x
  2. Step 2: Convert to fraction form
    294,133.40/441,734.70 = 176,035.40/x
  3. Step 3: Cross multiply
    294,133.40x = 441,734.70 × 176,035.40
  4. Step 4: Simplify right side
    294,133.40x = 77,760,944,608.38
  5. Step 5: Solve for x
    x = 77,760,944,608.38/294,133.40
  6. Step 6: Final answer
    x = 264,373.05

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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.