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Finding the Fourth Proportional to 470,291.40, 705,232.98 and 170,672.40

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Solution

The fourth proportional to 470,291.40, 705,232.98 and 170,672.40 is: 255,934.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    470,291.40 : 705,232.98 = 170,672.40 : x
  2. Step 2: Convert to fraction form
    470,291.40/705,232.98 = 170,672.40/x
  3. Step 3: Cross multiply
    470,291.40x = 705,232.98 × 170,672.40
  4. Step 4: Simplify right side
    470,291.40x = 120,363,805,255.75
  5. Step 5: Solve for x
    x = 120,363,805,255.75/470,291.40
  6. Step 6: Final answer
    x = 255,934.52

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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.