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Finding the Fourth Proportional to 470,851.40, 705,240.30 and 418,320.20

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Solution

The fourth proportional to 470,851.40, 705,240.30 and 418,320.20 is: 626,559.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,851.40 : 705,240.30 = 418,320.20 : x
  2. Step 2: Convert to fraction form
    470,851.40/705,240.30 = 418,320.20/x
  3. Step 3: Cross multiply
    470,851.40x = 705,240.30 × 418,320.20
  4. Step 4: Simplify right side
    470,851.40x = 295,016,263,344.06
  5. Step 5: Solve for x
    x = 295,016,263,344.06/470,851.40
  6. Step 6: Final answer
    x = 626,559.17

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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.