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Finding the Fourth Proportional to 473,886.45, 710,829.68 and 154,037.70

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Solution

The fourth proportional to 473,886.45, 710,829.68 and 154,037.70 is: 231,056.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,886.45 : 710,829.68 = 154,037.70 : x
  2. Step 2: Convert to fraction form
    473,886.45/710,829.68 = 154,037.70/x
  3. Step 3: Cross multiply
    473,886.45x = 710,829.68 × 154,037.70
  4. Step 4: Simplify right side
    473,886.45x = 109,494,568,228.75
  5. Step 5: Solve for x
    x = 109,494,568,228.75/473,886.45
  6. Step 6: Final answer
    x = 231,056.55

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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.