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Finding the Fourth Proportional to 286,418.10, 429,627.15 and 286,418.10

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Solution

The fourth proportional to 286,418.10, 429,627.15 and 286,418.10 is: 429,627.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,418.10 : 429,627.15 = 286,418.10 : x
  2. Step 2: Convert to fraction form
    286,418.10/429,627.15 = 286,418.10/x
  3. Step 3: Cross multiply
    286,418.10x = 429,627.15 × 286,418.10
  4. Step 4: Simplify right side
    286,418.10x = 123,052,992,011.42
  5. Step 5: Solve for x
    x = 123,052,992,011.42/286,418.10
  6. Step 6: Final answer
    x = 429,627.15

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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.