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Finding the Fourth Proportional to 470,116, 704,707.44 and 220,350.88

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Solution

The fourth proportional to 470,116, 704,707.44 and 220,350.88 is: 330,307.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,116 : 704,707.44 = 220,350.88 : x
  2. Step 2: Convert to fraction form
    470,116/704,707.44 = 220,350.88/x
  3. Step 3: Cross multiply
    470,116x = 704,707.44 × 220,350.88
  4. Step 4: Simplify right side
    470,116x = 155,282,904,546.55
  5. Step 5: Solve for x
    x = 155,282,904,546.55/470,116
  6. Step 6: Final answer
    x = 330,307.64

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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.