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Finding the Fourth Proportional to 456,590.40, 684,885.60 and 207,272.40

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Solution

The fourth proportional to 456,590.40, 684,885.60 and 207,272.40 is: 310,908.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,590.40 : 684,885.60 = 207,272.40 : x
  2. Step 2: Convert to fraction form
    456,590.40/684,885.60 = 207,272.40/x
  3. Step 3: Cross multiply
    456,590.40x = 684,885.60 × 207,272.40
  4. Step 4: Simplify right side
    456,590.40x = 141,957,882,037.44
  5. Step 5: Solve for x
    x = 141,957,882,037.44/456,590.40
  6. Step 6: Final answer
    x = 310,908.60

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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.