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Finding the Fourth Proportional to 461,381.84, 692,109 and 124,417.44

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Solution

The fourth proportional to 461,381.84, 692,109 and 124,417.44 is: 186,635.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,381.84 : 692,109 = 124,417.44 : x
  2. Step 2: Convert to fraction form
    461,381.84/692,109 = 124,417.44/x
  3. Step 3: Cross multiply
    461,381.84x = 692,109 × 124,417.44
  4. Step 4: Simplify right side
    461,381.84x = 86,110,429,980.96
  5. Step 5: Solve for x
    x = 86,110,429,980.96/461,381.84
  6. Step 6: Final answer
    x = 186,635.93

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.