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Finding the Fourth Proportional to 270,442.10, 405,701.55 and 83,434.10

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Solution

The fourth proportional to 270,442.10, 405,701.55 and 83,434.10 is: 125,163.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,442.10 : 405,701.55 = 83,434.10 : x
  2. Step 2: Convert to fraction form
    270,442.10/405,701.55 = 83,434.10/x
  3. Step 3: Cross multiply
    270,442.10x = 405,701.55 × 83,434.10
  4. Step 4: Simplify right side
    270,442.10x = 33,849,343,692.86
  5. Step 5: Solve for x
    x = 33,849,343,692.86/270,442.10
  6. Step 6: Final answer
    x = 125,163.00

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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.