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Finding the Fourth Proportional to 415,405.80, 623,108.70 and 412,781.40

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Solution

The fourth proportional to 415,405.80, 623,108.70 and 412,781.40 is: 619,172.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,405.80 : 623,108.70 = 412,781.40 : x
  2. Step 2: Convert to fraction form
    415,405.80/623,108.70 = 412,781.40/x
  3. Step 3: Cross multiply
    415,405.80x = 623,108.70 × 412,781.40
  4. Step 4: Simplify right side
    415,405.80x = 257,207,681,538.18
  5. Step 5: Solve for x
    x = 257,207,681,538.18/415,405.80
  6. Step 6: Final answer
    x = 619,172.10

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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.