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Finding the Fourth Proportional to 470,275.08, 705,232.11 and 200,232.02

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Solution

The fourth proportional to 470,275.08, 705,232.11 and 200,232.02 is: 300,271.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,275.08 : 705,232.11 = 200,232.02 : x
  2. Step 2: Convert to fraction form
    470,275.08/705,232.11 = 200,232.02/x
  3. Step 3: Cross multiply
    470,275.08x = 705,232.11 × 200,232.02
  4. Step 4: Simplify right side
    470,275.08x = 141,210,046,428.00
  5. Step 5: Solve for x
    x = 141,210,046,428.00/470,275.08
  6. Step 6: Final answer
    x = 300,271.17

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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.