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Finding the Fourth Proportional to 547,142.32, 755,036.70 and 343,303.12

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Solution

The fourth proportional to 547,142.32, 755,036.70 and 343,303.12 is: 473,745.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,142.32 : 755,036.70 = 343,303.12 : x
  2. Step 2: Convert to fraction form
    547,142.32/755,036.70 = 343,303.12/x
  3. Step 3: Cross multiply
    547,142.32x = 755,036.70 × 343,303.12
  4. Step 4: Simplify right side
    547,142.32x = 259,206,454,824.50
  5. Step 5: Solve for x
    x = 259,206,454,824.50/547,142.32
  6. Step 6: Final answer
    x = 473,745.94

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.