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Finding the Fourth Proportional to 415,343.80, 623,015.70 and 412,719.40

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Solution

The fourth proportional to 415,343.80, 623,015.70 and 412,719.40 is: 619,079.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,343.80 : 623,015.70 = 412,719.40 : x
  2. Step 2: Convert to fraction form
    415,343.80/623,015.70 = 412,719.40/x
  3. Step 3: Cross multiply
    415,343.80x = 623,015.70 × 412,719.40
  4. Step 4: Simplify right side
    415,343.80x = 257,130,665,894.58
  5. Step 5: Solve for x
    x = 257,130,665,894.58/415,343.80
  6. Step 6: Final answer
    x = 619,079.10

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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.