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Finding the Fourth Proportional to 292,106.53, 435,582.61 and 281,699.14

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Solution

The fourth proportional to 292,106.53, 435,582.61 and 281,699.14 is: 420,063.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,106.53 : 435,582.61 = 281,699.14 : x
  2. Step 2: Convert to fraction form
    292,106.53/435,582.61 = 281,699.14/x
  3. Step 3: Cross multiply
    292,106.53x = 435,582.61 × 281,699.14
  4. Step 4: Simplify right side
    292,106.53x = 122,703,246,635.96
  5. Step 5: Solve for x
    x = 122,703,246,635.96/292,106.53
  6. Step 6: Final answer
    x = 420,063.35

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.