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Finding the Fourth Proportional to 509,312.10, 763,410.15 and 256,188.90

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Solution

The fourth proportional to 509,312.10, 763,410.15 and 256,188.90 is: 384,002.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,312.10 : 763,410.15 = 256,188.90 : x
  2. Step 2: Convert to fraction form
    509,312.10/763,410.15 = 256,188.90/x
  3. Step 3: Cross multiply
    509,312.10x = 763,410.15 × 256,188.90
  4. Step 4: Simplify right side
    509,312.10x = 195,577,206,577.34
  5. Step 5: Solve for x
    x = 195,577,206,577.34/509,312.10
  6. Step 6: Final answer
    x = 384,002.67

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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.