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Finding the Fourth Proportional to 873,218, 1,309,827.64 and 348,274.64

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Solution

The fourth proportional to 873,218, 1,309,827.64 and 348,274.64 is: 522,412.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,218 : 1,309,827.64 = 348,274.64 : x
  2. Step 2: Convert to fraction form
    873,218/1,309,827.64 = 348,274.64/x
  3. Step 3: Cross multiply
    873,218x = 1,309,827.64 × 348,274.64
  4. Step 4: Simplify right side
    873,218x = 456,179,749,783.05
  5. Step 5: Solve for x
    x = 456,179,749,783.05/873,218
  6. Step 6: Final answer
    x = 522,412.22

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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.