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Finding the Fourth Proportional to 470,891.40, 706,337.10 and 234,695.40

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Solution

The fourth proportional to 470,891.40, 706,337.10 and 234,695.40 is: 352,043.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,891.40 : 706,337.10 = 234,695.40 : x
  2. Step 2: Convert to fraction form
    470,891.40/706,337.10 = 234,695.40/x
  3. Step 3: Cross multiply
    470,891.40x = 706,337.10 × 234,695.40
  4. Step 4: Simplify right side
    470,891.40x = 165,774,068,219.34
  5. Step 5: Solve for x
    x = 165,774,068,219.34/470,891.40
  6. Step 6: Final answer
    x = 352,043.10

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Similar ratio
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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.