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Finding the Fourth Proportional to 305,907.40, 458,412.90 and 274,317.40

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Solution

The fourth proportional to 305,907.40, 458,412.90 and 274,317.40 is: 411,074.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,907.40 : 458,412.90 = 274,317.40 : x
  2. Step 2: Convert to fraction form
    305,907.40/458,412.90 = 274,317.40/x
  3. Step 3: Cross multiply
    305,907.40x = 458,412.90 × 274,317.40
  4. Step 4: Simplify right side
    305,907.40x = 125,750,634,854.46
  5. Step 5: Solve for x
    x = 125,750,634,854.46/305,907.40
  6. Step 6: Final answer
    x = 411,074.18

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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.