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Finding the Fourth Proportional to 354,865.40, 532,298.10 and 350,199.80

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Solution

The fourth proportional to 354,865.40, 532,298.10 and 350,199.80 is: 525,299.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,865.40 : 532,298.10 = 350,199.80 : x
  2. Step 2: Convert to fraction form
    354,865.40/532,298.10 = 350,199.80/x
  3. Step 3: Cross multiply
    354,865.40x = 532,298.10 × 350,199.80
  4. Step 4: Simplify right side
    354,865.40x = 186,410,688,160.38
  5. Step 5: Solve for x
    x = 186,410,688,160.38/354,865.40
  6. Step 6: Final answer
    x = 525,299.70

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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.