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Finding the Fourth Proportional to 456,613.80, 684,925.32 and 203,907.16

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Solution

The fourth proportional to 456,613.80, 684,925.32 and 203,907.16 is: 305,862.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,613.80 : 684,925.32 = 203,907.16 : x
  2. Step 2: Convert to fraction form
    456,613.80/684,925.32 = 203,907.16/x
  3. Step 3: Cross multiply
    456,613.80x = 684,925.32 × 203,907.16
  4. Step 4: Simplify right side
    456,613.80x = 139,661,176,813.29
  5. Step 5: Solve for x
    x = 139,661,176,813.29/456,613.80
  6. Step 6: Final answer
    x = 305,862.80

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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.