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Finding the Fourth Proportional to 286,279.80, 429,074.10 and 145,966.20

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Solution

The fourth proportional to 286,279.80, 429,074.10 and 145,966.20 is: 218,773.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,279.80 : 429,074.10 = 145,966.20 : x
  2. Step 2: Convert to fraction form
    286,279.80/429,074.10 = 145,966.20/x
  3. Step 3: Cross multiply
    286,279.80x = 429,074.10 × 145,966.20
  4. Step 4: Simplify right side
    286,279.80x = 62,630,315,895.42
  5. Step 5: Solve for x
    x = 62,630,315,895.42/286,279.80
  6. Step 6: Final answer
    x = 218,773.09

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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.