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Finding the Fourth Proportional to 318,903.40, 478,355.10 and 200,708.20

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Solution

The fourth proportional to 318,903.40, 478,355.10 and 200,708.20 is: 301,062.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,903.40 : 478,355.10 = 200,708.20 : x
  2. Step 2: Convert to fraction form
    318,903.40/478,355.10 = 200,708.20/x
  3. Step 3: Cross multiply
    318,903.40x = 478,355.10 × 200,708.20
  4. Step 4: Simplify right side
    318,903.40x = 96,009,791,081.82
  5. Step 5: Solve for x
    x = 96,009,791,081.82/318,903.40
  6. Step 6: Final answer
    x = 301,062.30

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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.