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Finding the Fourth Proportional to 301,355.14, 450,953.40 and 260,968.54

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Solution

The fourth proportional to 301,355.14, 450,953.40 and 260,968.54 is: 390,518.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,355.14 : 450,953.40 = 260,968.54 : x
  2. Step 2: Convert to fraction form
    301,355.14/450,953.40 = 260,968.54/x
  3. Step 3: Cross multiply
    301,355.14x = 450,953.40 × 260,968.54
  4. Step 4: Simplify right side
    301,355.14x = 117,684,648,151.27
  5. Step 5: Solve for x
    x = 117,684,648,151.27/301,355.14
  6. Step 6: Final answer
    x = 390,518.14

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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.