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Finding the Fourth Proportional to 338,135.40, 507,203.10 and 85,415.40

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Solution

The fourth proportional to 338,135.40, 507,203.10 and 85,415.40 is: 128,123.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    338,135.40 : 507,203.10 = 85,415.40 : x
  2. Step 2: Convert to fraction form
    338,135.40/507,203.10 = 85,415.40/x
  3. Step 3: Cross multiply
    338,135.40x = 507,203.10 × 85,415.40
  4. Step 4: Simplify right side
    338,135.40x = 43,322,955,667.74
  5. Step 5: Solve for x
    x = 43,322,955,667.74/338,135.40
  6. Step 6: Final answer
    x = 128,123.10

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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.