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Finding the Fourth Proportional to 553,343.40, 830,015.10 and 198,385.20

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Solution

The fourth proportional to 553,343.40, 830,015.10 and 198,385.20 is: 297,577.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,343.40 : 830,015.10 = 198,385.20 : x
  2. Step 2: Convert to fraction form
    553,343.40/830,015.10 = 198,385.20/x
  3. Step 3: Cross multiply
    553,343.40x = 830,015.10 × 198,385.20
  4. Step 4: Simplify right side
    553,343.40x = 164,662,711,616.52
  5. Step 5: Solve for x
    x = 164,662,711,616.52/553,343.40
  6. Step 6: Final answer
    x = 297,577.80

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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.