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Finding the Fourth Proportional to 488,461.70, 732,865.35 and 471,181.70

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Solution

The fourth proportional to 488,461.70, 732,865.35 and 471,181.70 is: 706,939.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,461.70 : 732,865.35 = 471,181.70 : x
  2. Step 2: Convert to fraction form
    488,461.70/732,865.35 = 471,181.70/x
  3. Step 3: Cross multiply
    488,461.70x = 732,865.35 × 471,181.70
  4. Step 4: Simplify right side
    488,461.70x = 345,312,741,484.10
  5. Step 5: Solve for x
    x = 345,312,741,484.10/488,461.70
  6. Step 6: Final answer
    x = 706,939.24

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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.