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Finding the Fourth Proportional to 520,051.90, 780,077.85 and 415,075.90

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Solution

The fourth proportional to 520,051.90, 780,077.85 and 415,075.90 is: 622,613.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    520,051.90 : 780,077.85 = 415,075.90 : x
  2. Step 2: Convert to fraction form
    520,051.90/780,077.85 = 415,075.90/x
  3. Step 3: Cross multiply
    520,051.90x = 780,077.85 × 415,075.90
  4. Step 4: Simplify right side
    520,051.90x = 323,791,515,658.82
  5. Step 5: Solve for x
    x = 323,791,515,658.82/520,051.90
  6. Step 6: Final answer
    x = 622,613.85

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Similar ratio
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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.