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Finding the Fourth Proportional to 415,543.80, 623,315.70 and 412,919.40

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Solution

The fourth proportional to 415,543.80, 623,315.70 and 412,919.40 is: 619,379.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,543.80 : 623,315.70 = 412,919.40 : x
  2. Step 2: Convert to fraction form
    415,543.80/623,315.70 = 412,919.40/x
  3. Step 3: Cross multiply
    415,543.80x = 623,315.70 × 412,919.40
  4. Step 4: Simplify right side
    415,543.80x = 257,379,144,854.58
  5. Step 5: Solve for x
    x = 257,379,144,854.58/415,543.80
  6. Step 6: Final answer
    x = 619,379.10

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1.5x scale

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.