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Finding the Fourth Proportional to 473,820, 710,853.12 and 141,396

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Solution

The fourth proportional to 473,820, 710,853.12 and 141,396 is: 212,130.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,820 : 710,853.12 = 141,396 : x
  2. Step 2: Convert to fraction form
    473,820/710,853.12 = 141,396/x
  3. Step 3: Cross multiply
    473,820x = 710,853.12 × 141,396
  4. Step 4: Simplify right side
    473,820x = 100,511,787,755.52
  5. Step 5: Solve for x
    x = 100,511,787,755.52/473,820
  6. Step 6: Final answer
    x = 212,130.74

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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.