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Finding the Fourth Proportional to 600,075.30, 827,713.71 and 384,874.50

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Solution

The fourth proportional to 600,075.30, 827,713.71 and 384,874.50 is: 530,876.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,075.30 : 827,713.71 = 384,874.50 : x
  2. Step 2: Convert to fraction form
    600,075.30/827,713.71 = 384,874.50/x
  3. Step 3: Cross multiply
    600,075.30x = 827,713.71 × 384,874.50
  4. Step 4: Simplify right side
    600,075.30x = 318,565,900,279.40
  5. Step 5: Solve for x
    x = 318,565,900,279.40/600,075.30
  6. Step 6: Final answer
    x = 530,876.54

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.