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Finding the Fourth Proportional to 410,199.40, 615,299.10 and 354,903.40

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Solution

The fourth proportional to 410,199.40, 615,299.10 and 354,903.40 is: 532,355.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,199.40 : 615,299.10 = 354,903.40 : x
  2. Step 2: Convert to fraction form
    410,199.40/615,299.10 = 354,903.40/x
  3. Step 3: Cross multiply
    410,199.40x = 615,299.10 × 354,903.40
  4. Step 4: Simplify right side
    410,199.40x = 218,371,742,606.94
  5. Step 5: Solve for x
    x = 218,371,742,606.94/410,199.40
  6. Step 6: Final answer
    x = 532,355.10

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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.