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Finding the Fourth Proportional to 314,427.20, 471,640.80 and 214,894.40

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Solution

The fourth proportional to 314,427.20, 471,640.80 and 214,894.40 is: 322,341.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,427.20 : 471,640.80 = 214,894.40 : x
  2. Step 2: Convert to fraction form
    314,427.20/471,640.80 = 214,894.40/x
  3. Step 3: Cross multiply
    314,427.20x = 471,640.80 × 214,894.40
  4. Step 4: Simplify right side
    314,427.20x = 101,352,966,731.52
  5. Step 5: Solve for x
    x = 101,352,966,731.52/314,427.20
  6. Step 6: Final answer
    x = 322,341.60

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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.