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Finding the Fourth Proportional to 420,765.60, 630,841.20 and 171,319.20

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Solution

The fourth proportional to 420,765.60, 630,841.20 and 171,319.20 is: 256,853.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,765.60 : 630,841.20 = 171,319.20 : x
  2. Step 2: Convert to fraction form
    420,765.60/630,841.20 = 171,319.20/x
  3. Step 3: Cross multiply
    420,765.60x = 630,841.20 × 171,319.20
  4. Step 4: Simplify right side
    420,765.60x = 108,075,209,711.04
  5. Step 5: Solve for x
    x = 108,075,209,711.04/420,765.60
  6. Step 6: Final answer
    x = 256,853.72

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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.