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Finding the Fourth Proportional to 477,934.26, 716,901.42 and 197,458.80

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Solution

The fourth proportional to 477,934.26, 716,901.42 and 197,458.80 is: 296,188.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    477,934.26 : 716,901.42 = 197,458.80 : x
  2. Step 2: Convert to fraction form
    477,934.26/716,901.42 = 197,458.80/x
  3. Step 3: Cross multiply
    477,934.26x = 716,901.42 × 197,458.80
  4. Step 4: Simplify right side
    477,934.26x = 141,558,494,111.50
  5. Step 5: Solve for x
    x = 141,558,494,111.50/477,934.26
  6. Step 6: Final answer
    x = 296,188.21

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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.