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Finding the Fourth Proportional to 473,494.60, 709,205.10 and 463,126.60

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Solution

The fourth proportional to 473,494.60, 709,205.10 and 463,126.60 is: 693,675.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,494.60 : 709,205.10 = 463,126.60 : x
  2. Step 2: Convert to fraction form
    473,494.60/709,205.10 = 463,126.60/x
  3. Step 3: Cross multiply
    473,494.60x = 709,205.10 × 463,126.60
  4. Step 4: Simplify right side
    473,494.60x = 328,451,746,665.66
  5. Step 5: Solve for x
    x = 328,451,746,665.66/473,494.60
  6. Step 6: Final answer
    x = 693,675.80

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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.