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Finding the Fourth Proportional to 473,904.60, 710,856.81 and 189,723.06

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Solution

The fourth proportional to 473,904.60, 710,856.81 and 189,723.06 is: 284,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,904.60 : 710,856.81 = 189,723.06 : x
  2. Step 2: Convert to fraction form
    473,904.60/710,856.81 = 189,723.06/x
  3. Step 3: Cross multiply
    473,904.60x = 710,856.81 × 189,723.06
  4. Step 4: Simplify right side
    473,904.60x = 134,865,929,215.04
  5. Step 5: Solve for x
    x = 134,865,929,215.04/473,904.60
  6. Step 6: Final answer
    x = 284,584.55

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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.