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Finding the Fourth Proportional to 461,950.76, 692,945.64 and 146,400.68

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Solution

The fourth proportional to 461,950.76, 692,945.64 and 146,400.68 is: 219,607.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,950.76 : 692,945.64 = 146,400.68 : x
  2. Step 2: Convert to fraction form
    461,950.76/692,945.64 = 146,400.68/x
  3. Step 3: Cross multiply
    461,950.76x = 692,945.64 × 146,400.68
  4. Step 4: Simplify right side
    461,950.76x = 101,447,712,899.04
  5. Step 5: Solve for x
    x = 101,447,712,899.04/461,950.76
  6. Step 6: Final answer
    x = 219,607.20

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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.