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Finding the Fourth Proportional to 289,312.10, 433,968.15 and 102,299.30

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Solution

The fourth proportional to 289,312.10, 433,968.15 and 102,299.30 is: 153,448.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,312.10 : 433,968.15 = 102,299.30 : x
  2. Step 2: Convert to fraction form
    289,312.10/433,968.15 = 102,299.30/x
  3. Step 3: Cross multiply
    289,312.10x = 433,968.15 × 102,299.30
  4. Step 4: Simplify right side
    289,312.10x = 44,394,637,967.30
  5. Step 5: Solve for x
    x = 44,394,637,967.30/289,312.10
  6. Step 6: Final answer
    x = 153,448.95

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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.