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Finding the Fourth Proportional to 273,415.40, 410,123.10 and 153,349.10

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Solution

The fourth proportional to 273,415.40, 410,123.10 and 153,349.10 is: 230,023.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    273,415.40 : 410,123.10 = 153,349.10 : x
  2. Step 2: Convert to fraction form
    273,415.40/410,123.10 = 153,349.10/x
  3. Step 3: Cross multiply
    273,415.40x = 410,123.10 × 153,349.10
  4. Step 4: Simplify right side
    273,415.40x = 62,892,008,274.21
  5. Step 5: Solve for x
    x = 62,892,008,274.21/273,415.40
  6. Step 6: Final answer
    x = 230,023.65

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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.