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Finding the Fourth Proportional to 357,367.92, 536,051.88 and 278,541.60

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Solution

The fourth proportional to 357,367.92, 536,051.88 and 278,541.60 is: 417,812.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,367.92 : 536,051.88 = 278,541.60 : x
  2. Step 2: Convert to fraction form
    357,367.92/536,051.88 = 278,541.60/x
  3. Step 3: Cross multiply
    357,367.92x = 536,051.88 × 278,541.60
  4. Step 4: Simplify right side
    357,367.92x = 149,312,748,338.21
  5. Step 5: Solve for x
    x = 149,312,748,338.21/357,367.92
  6. Step 6: Final answer
    x = 417,812.40

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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.