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Finding the Fourth Proportional to 682,415.80, 1,024,466.10 and 429,695.80

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Solution

The fourth proportional to 682,415.80, 1,024,466.10 and 429,695.80 is: 645,074.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,415.80 : 1,024,466.10 = 429,695.80 : x
  2. Step 2: Convert to fraction form
    682,415.80/1,024,466.10 = 429,695.80/x
  3. Step 3: Cross multiply
    682,415.80x = 1,024,466.10 × 429,695.80
  4. Step 4: Simplify right side
    682,415.80x = 440,208,780,412.38
  5. Step 5: Solve for x
    x = 440,208,780,412.38/682,415.80
  6. Step 6: Final answer
    x = 645,074.13

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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.