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Finding the Fourth Proportional to 685,903.52, 946,596.72 and 414,037.64

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Solution

The fourth proportional to 685,903.52, 946,596.72 and 414,037.64 is: 571,402.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    685,903.52 : 946,596.72 = 414,037.64 : x
  2. Step 2: Convert to fraction form
    685,903.52/946,596.72 = 414,037.64/x
  3. Step 3: Cross multiply
    685,903.52x = 946,596.72 × 414,037.64
  4. Step 4: Simplify right side
    685,903.52x = 391,926,671,980.54
  5. Step 5: Solve for x
    x = 391,926,671,980.54/685,903.52
  6. Step 6: Final answer
    x = 571,402.04

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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.