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Finding the Fourth Proportional to 461,337.10, 692,005.65 and 414,097.90

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Solution

The fourth proportional to 461,337.10, 692,005.65 and 414,097.90 is: 621,146.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,337.10 : 692,005.65 = 414,097.90 : x
  2. Step 2: Convert to fraction form
    461,337.10/692,005.65 = 414,097.90/x
  3. Step 3: Cross multiply
    461,337.10x = 692,005.65 × 414,097.90
  4. Step 4: Simplify right side
    461,337.10x = 286,558,086,453.14
  5. Step 5: Solve for x
    x = 286,558,086,453.14/461,337.10
  6. Step 6: Final answer
    x = 621,146.85

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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.