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Finding the Fourth Proportional to 706,197.96, 974,588.76 and 434,280.96

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Solution

The fourth proportional to 706,197.96, 974,588.76 and 434,280.96 is: 599,329.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    706,197.96 : 974,588.76 = 434,280.96 : x
  2. Step 2: Convert to fraction form
    706,197.96/974,588.76 = 434,280.96/x
  3. Step 3: Cross multiply
    706,197.96x = 974,588.76 × 434,280.96
  4. Step 4: Simplify right side
    706,197.96x = 423,245,342,298.01
  5. Step 5: Solve for x
    x = 423,245,342,298.01/706,197.96
  6. Step 6: Final answer
    x = 599,329.60

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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.