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Finding the Fourth Proportional to 294,296.16, 441,509.52 and 107,307.12

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Solution

The fourth proportional to 294,296.16, 441,509.52 and 107,307.12 is: 160,984.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,296.16 : 441,509.52 = 107,307.12 : x
  2. Step 2: Convert to fraction form
    294,296.16/441,509.52 = 107,307.12/x
  3. Step 3: Cross multiply
    294,296.16x = 441,509.52 × 107,307.12
  4. Step 4: Simplify right side
    294,296.16x = 47,377,115,043.78
  5. Step 5: Solve for x
    x = 47,377,115,043.78/294,296.16
  6. Step 6: Final answer
    x = 160,984.48

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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.