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Finding the Fourth Proportional to 473,234.30, 709,851.45 and 434,527.10

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Solution

The fourth proportional to 473,234.30, 709,851.45 and 434,527.10 is: 651,790.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,234.30 : 709,851.45 = 434,527.10 : x
  2. Step 2: Convert to fraction form
    473,234.30/709,851.45 = 434,527.10/x
  3. Step 3: Cross multiply
    473,234.30x = 709,851.45 × 434,527.10
  4. Step 4: Simplify right side
    473,234.30x = 308,449,691,999.30
  5. Step 5: Solve for x
    x = 308,449,691,999.30/473,234.30
  6. Step 6: Final answer
    x = 651,790.65

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Similar ratio
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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.