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Finding the Fourth Proportional to 473,802, 710,826.12 and 141,378

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Solution

The fourth proportional to 473,802, 710,826.12 and 141,378 is: 212,103.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,802 : 710,826.12 = 141,378 : x
  2. Step 2: Convert to fraction form
    473,802/710,826.12 = 141,378/x
  3. Step 3: Cross multiply
    473,802x = 710,826.12 × 141,378
  4. Step 4: Simplify right side
    473,802x = 100,495,175,193.36
  5. Step 5: Solve for x
    x = 100,495,175,193.36/473,802
  6. Step 6: Final answer
    x = 212,103.74

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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.