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Finding the Fourth Proportional to 531,114.77, 796,907.64 and 278,335.16

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Solution

The fourth proportional to 531,114.77, 796,907.64 and 278,335.16 is: 417,626.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,114.77 : 796,907.64 = 278,335.16 : x
  2. Step 2: Convert to fraction form
    531,114.77/796,907.64 = 278,335.16/x
  3. Step 3: Cross multiply
    531,114.77x = 796,907.64 × 278,335.16
  4. Step 4: Simplify right side
    531,114.77x = 221,807,411,500.08
  5. Step 5: Solve for x
    x = 221,807,411,500.08/531,114.77
  6. Step 6: Final answer
    x = 417,626.14

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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.