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Finding the Fourth Proportional to 314,587.56, 434,225.70 and 214,043.88

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Solution

The fourth proportional to 314,587.56, 434,225.70 and 214,043.88 is: 295,445.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,587.56 : 434,225.70 = 214,043.88 : x
  2. Step 2: Convert to fraction form
    314,587.56/434,225.70 = 214,043.88/x
  3. Step 3: Cross multiply
    314,587.56x = 434,225.70 × 214,043.88
  4. Step 4: Simplify right side
    314,587.56x = 92,943,353,623.72
  5. Step 5: Solve for x
    x = 92,943,353,623.72/314,587.56
  6. Step 6: Final answer
    x = 295,445.10

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.