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Finding the Fourth Proportional to 286,297.10, 429,445.65 and 160,325.90

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Solution

The fourth proportional to 286,297.10, 429,445.65 and 160,325.90 is: 240,488.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,297.10 : 429,445.65 = 160,325.90 : x
  2. Step 2: Convert to fraction form
    286,297.10/429,445.65 = 160,325.90/x
  3. Step 3: Cross multiply
    286,297.10x = 429,445.65 × 160,325.90
  4. Step 4: Simplify right side
    286,297.10x = 68,851,260,337.34
  5. Step 5: Solve for x
    x = 68,851,260,337.34/286,297.10
  6. Step 6: Final answer
    x = 240,488.85

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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.