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Finding the Fourth Proportional to 473,814.56, 710,724.90 and 189,528.86

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Solution

The fourth proportional to 473,814.56, 710,724.90 and 189,528.86 is: 284,294.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,814.56 : 710,724.90 = 189,528.86 : x
  2. Step 2: Convert to fraction form
    473,814.56/710,724.90 = 189,528.86/x
  3. Step 3: Cross multiply
    473,814.56x = 710,724.90 × 189,528.86
  4. Step 4: Simplify right side
    473,814.56x = 134,702,880,070.61
  5. Step 5: Solve for x
    x = 134,702,880,070.61/473,814.56
  6. Step 6: Final answer
    x = 284,294.51

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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.