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Finding the Fourth Proportional to 470,275.58, 705,232.86 and 200,232.52

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Solution

The fourth proportional to 470,275.58, 705,232.86 and 200,232.52 is: 300,271.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,275.58 : 705,232.86 = 200,232.52 : x
  2. Step 2: Convert to fraction form
    470,275.58/705,232.86 = 200,232.52/x
  3. Step 3: Cross multiply
    470,275.58x = 705,232.86 × 200,232.52
  4. Step 4: Simplify right side
    470,275.58x = 141,210,549,218.44
  5. Step 5: Solve for x
    x = 141,210,549,218.44/470,275.58
  6. Step 6: Final answer
    x = 300,271.92

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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.