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Finding the Fourth Proportional to 473,819, 710,851.62 and 141,395

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Solution

The fourth proportional to 473,819, 710,851.62 and 141,395 is: 212,129.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,819 : 710,851.62 = 141,395 : x
  2. Step 2: Convert to fraction form
    473,819/710,851.62 = 141,395/x
  3. Step 3: Cross multiply
    473,819x = 710,851.62 × 141,395
  4. Step 4: Simplify right side
    473,819x = 100,510,864,809.90
  5. Step 5: Solve for x
    x = 100,510,864,809.90/473,819
  6. Step 6: Final answer
    x = 212,129.24

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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.