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Finding the Fourth Proportional to 286,208.10, 429,312.15 and 202,227.30

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Solution

The fourth proportional to 286,208.10, 429,312.15 and 202,227.30 is: 303,340.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,208.10 : 429,312.15 = 202,227.30 : x
  2. Step 2: Convert to fraction form
    286,208.10/429,312.15 = 202,227.30/x
  3. Step 3: Cross multiply
    286,208.10x = 429,312.15 × 202,227.30
  4. Step 4: Simplify right side
    286,208.10x = 86,818,636,951.70
  5. Step 5: Solve for x
    x = 86,818,636,951.70/286,208.10
  6. Step 6: Final answer
    x = 303,340.95

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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.