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Finding the Fourth Proportional to 282,411, 423,526.74 and 92,827.60

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Solution

The fourth proportional to 282,411, 423,526.74 and 92,827.60 is: 139,211.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,411 : 423,526.74 = 92,827.60 : x
  2. Step 2: Convert to fraction form
    282,411/423,526.74 = 92,827.60/x
  3. Step 3: Cross multiply
    282,411x = 423,526.74 × 92,827.60
  4. Step 4: Simplify right side
    282,411x = 39,314,970,810.02
  5. Step 5: Solve for x
    x = 39,314,970,810.02/282,411
  6. Step 6: Final answer
    x = 139,211.90

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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.