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Finding the Fourth Proportional to 294,337.48, 406,329.71 and 197,506.69

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Solution

The fourth proportional to 294,337.48, 406,329.71 and 197,506.69 is: 272,655.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    294,337.48 : 406,329.71 = 197,506.69 : x
  2. Step 2: Convert to fraction form
    294,337.48/406,329.71 = 197,506.69/x
  3. Step 3: Cross multiply
    294,337.48x = 406,329.71 × 197,506.69
  4. Step 4: Simplify right side
    294,337.48x = 80,252,836,070.76
  5. Step 5: Solve for x
    x = 80,252,836,070.76/294,337.48
  6. Step 6: Final answer
    x = 272,655.85

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.