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Finding the Fourth Proportional to 473,821, 710,854.62 and 141,397

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Solution

The fourth proportional to 473,821, 710,854.62 and 141,397 is: 212,132.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,821 : 710,854.62 = 141,397 : x
  2. Step 2: Convert to fraction form
    473,821/710,854.62 = 141,397/x
  3. Step 3: Cross multiply
    473,821x = 710,854.62 × 141,397
  4. Step 4: Simplify right side
    473,821x = 100,512,710,704.14
  5. Step 5: Solve for x
    x = 100,512,710,704.14/473,821
  6. Step 6: Final answer
    x = 212,132.24

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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.