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Finding the Fourth Proportional to 463,313.40, 694,970.10 and 147,802.20

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Solution

The fourth proportional to 463,313.40, 694,970.10 and 147,802.20 is: 221,703.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,313.40 : 694,970.10 = 147,802.20 : x
  2. Step 2: Convert to fraction form
    463,313.40/694,970.10 = 147,802.20/x
  3. Step 3: Cross multiply
    463,313.40x = 694,970.10 × 147,802.20
  4. Step 4: Simplify right side
    463,313.40x = 102,718,109,714.22
  5. Step 5: Solve for x
    x = 102,718,109,714.22/463,313.40
  6. Step 6: Final answer
    x = 221,703.30

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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.