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Finding the Fourth Proportional to 282,674.53, 424,009.63 and 72,312.13

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Solution

The fourth proportional to 282,674.53, 424,009.63 and 72,312.13 is: 108,467.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    282,674.53 : 424,009.63 = 72,312.13 : x
  2. Step 2: Convert to fraction form
    282,674.53/424,009.63 = 72,312.13/x
  3. Step 3: Cross multiply
    282,674.53x = 424,009.63 × 72,312.13
  4. Step 4: Simplify right side
    282,674.53x = 30,661,039,485.81
  5. Step 5: Solve for x
    x = 30,661,039,485.81/282,674.53
  6. Step 6: Final answer
    x = 108,467.64

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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.