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Finding the Fourth Proportional to 456,535.42, 684,802.47 and 183,104.97

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Solution

The fourth proportional to 456,535.42, 684,802.47 and 183,104.97 is: 274,657.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,535.42 : 684,802.47 = 183,104.97 : x
  2. Step 2: Convert to fraction form
    456,535.42/684,802.47 = 183,104.97/x
  3. Step 3: Cross multiply
    456,535.42x = 684,802.47 × 183,104.97
  4. Step 4: Simplify right side
    456,535.42x = 125,390,735,725.28
  5. Step 5: Solve for x
    x = 125,390,735,725.28/456,535.42
  6. Step 6: Final answer
    x = 274,657.19

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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.