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Finding the Fourth Proportional to 305,931.60, 458,897.40 and 271,814.40

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Solution

The fourth proportional to 305,931.60, 458,897.40 and 271,814.40 is: 407,721.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,931.60 : 458,897.40 = 271,814.40 : x
  2. Step 2: Convert to fraction form
    305,931.60/458,897.40 = 271,814.40/x
  3. Step 3: Cross multiply
    305,931.60x = 458,897.40 × 271,814.40
  4. Step 4: Simplify right side
    305,931.60x = 124,734,921,442.56
  5. Step 5: Solve for x
    x = 124,734,921,442.56/305,931.60
  6. Step 6: Final answer
    x = 407,721.60

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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.