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Finding the Fourth Proportional to 406,706.18, 610,056.19 and 122,395.50

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Solution

The fourth proportional to 406,706.18, 610,056.19 and 122,395.50 is: 183,592.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    406,706.18 : 610,056.19 = 122,395.50 : x
  2. Step 2: Convert to fraction form
    406,706.18/610,056.19 = 122,395.50/x
  3. Step 3: Cross multiply
    406,706.18x = 610,056.19 × 122,395.50
  4. Step 4: Simplify right side
    406,706.18x = 74,668,132,403.15
  5. Step 5: Solve for x
    x = 74,668,132,403.15/406,706.18
  6. Step 6: Final answer
    x = 183,592.32

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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.