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Finding the Fourth Proportional to 653,647.32, 980,527.46 and 180,332.66

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Solution

The fourth proportional to 653,647.32, 980,527.46 and 180,332.66 is: 270,514.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    653,647.32 : 980,527.46 = 180,332.66 : x
  2. Step 2: Convert to fraction form
    653,647.32/980,527.46 = 180,332.66/x
  3. Step 3: Cross multiply
    653,647.32x = 980,527.46 × 180,332.66
  4. Step 4: Simplify right side
    653,647.32x = 176,821,125,064.84
  5. Step 5: Solve for x
    x = 176,821,125,064.84/653,647.32
  6. Step 6: Final answer
    x = 270,514.57

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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.