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Finding the Fourth Proportional to 473,814, 710,844.12 and 141,390

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Solution

The fourth proportional to 473,814, 710,844.12 and 141,390 is: 212,121.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,814 : 710,844.12 = 141,390 : x
  2. Step 2: Convert to fraction form
    473,814/710,844.12 = 141,390/x
  3. Step 3: Cross multiply
    473,814x = 710,844.12 × 141,390
  4. Step 4: Simplify right side
    473,814x = 100,506,250,126.80
  5. Step 5: Solve for x
    x = 100,506,250,126.80/473,814
  6. Step 6: Final answer
    x = 212,121.74

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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.