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Finding the Fourth Proportional to 415,404.30, 623,106.45 and 412,779.90

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Solution

The fourth proportional to 415,404.30, 623,106.45 and 412,779.90 is: 619,169.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,404.30 : 623,106.45 = 412,779.90 : x
  2. Step 2: Convert to fraction form
    415,404.30/623,106.45 = 412,779.90/x
  3. Step 3: Cross multiply
    415,404.30x = 623,106.45 × 412,779.90
  4. Step 4: Simplify right side
    415,404.30x = 257,205,818,120.36
  5. Step 5: Solve for x
    x = 257,205,818,120.36/415,404.30
  6. Step 6: Final answer
    x = 619,169.85

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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.