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Finding the Fourth Proportional to 286,269.40, 429,404.10 and 160,298.20

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Solution

The fourth proportional to 286,269.40, 429,404.10 and 160,298.20 is: 240,447.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,269.40 : 429,404.10 = 160,298.20 : x
  2. Step 2: Convert to fraction form
    286,269.40/429,404.10 = 160,298.20/x
  3. Step 3: Cross multiply
    286,269.40x = 429,404.10 × 160,298.20
  4. Step 4: Simplify right side
    286,269.40x = 68,832,704,302.62
  5. Step 5: Solve for x
    x = 68,832,704,302.62/286,269.40
  6. Step 6: Final answer
    x = 240,447.30

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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.