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Finding the Fourth Proportional to 470,965.30, 660,532.40 and 470,965.30

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Solution

The fourth proportional to 470,965.30, 660,532.40 and 470,965.30 is: 660,532.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,965.30 : 660,532.40 = 470,965.30 : x
  2. Step 2: Convert to fraction form
    470,965.30/660,532.40 = 470,965.30/x
  3. Step 3: Cross multiply
    470,965.30x = 660,532.40 × 470,965.30
  4. Step 4: Simplify right side
    470,965.30x = 311,087,839,925.72
  5. Step 5: Solve for x
    x = 311,087,839,925.72/470,965.30
  6. Step 6: Final answer
    x = 660,532.40

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.