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Finding the Fourth Proportional to 294,243.20, 441,364.80 and 176,278.40

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Solution

The fourth proportional to 294,243.20, 441,364.80 and 176,278.40 is: 264,417.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,243.20 : 441,364.80 = 176,278.40 : x
  2. Step 2: Convert to fraction form
    294,243.20/441,364.80 = 176,278.40/x
  3. Step 3: Cross multiply
    294,243.20x = 441,364.80 × 176,278.40
  4. Step 4: Simplify right side
    294,243.20x = 77,803,080,760.32
  5. Step 5: Solve for x
    x = 77,803,080,760.32/294,243.20
  6. Step 6: Final answer
    x = 264,417.60

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1.5x scale

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.