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Finding the Fourth Proportional to 541,177.61, 746,903.95 and 311,690.24

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Solution

The fourth proportional to 541,177.61, 746,903.95 and 311,690.24 is: 430,177.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,177.61 : 746,903.95 = 311,690.24 : x
  2. Step 2: Convert to fraction form
    541,177.61/746,903.95 = 311,690.24/x
  3. Step 3: Cross multiply
    541,177.61x = 746,903.95 × 311,690.24
  4. Step 4: Simplify right side
    541,177.61x = 232,802,666,918.70
  5. Step 5: Solve for x
    x = 232,802,666,918.70/541,177.61
  6. Step 6: Final answer
    x = 430,177.93

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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.