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Finding the Fourth Proportional to 500,714.84, 747,429.94 and 463,710.80

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Solution

The fourth proportional to 500,714.84, 747,429.94 and 463,710.80 is: 692,193.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,714.84 : 747,429.94 = 463,710.80 : x
  2. Step 2: Convert to fraction form
    500,714.84/747,429.94 = 463,710.80/x
  3. Step 3: Cross multiply
    500,714.84x = 747,429.94 × 463,710.80
  4. Step 4: Simplify right side
    500,714.84x = 346,591,330,524.93
  5. Step 5: Solve for x
    x = 346,591,330,524.93/500,714.84
  6. Step 6: Final answer
    x = 692,193.05

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.