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Finding the Fourth Proportional to 547,101.76, 755,126.40 and 320,820.16

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Solution

The fourth proportional to 547,101.76, 755,126.40 and 320,820.16 is: 442,805.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,101.76 : 755,126.40 = 320,820.16 : x
  2. Step 2: Convert to fraction form
    547,101.76/755,126.40 = 320,820.16/x
  3. Step 3: Cross multiply
    547,101.76x = 755,126.40 × 320,820.16
  4. Step 4: Simplify right side
    547,101.76x = 242,259,772,468.22
  5. Step 5: Solve for x
    x = 242,259,772,468.22/547,101.76
  6. Step 6: Final answer
    x = 442,805.69

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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.