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Finding the Fourth Proportional to 566,219, 849,459.74 and 192,242

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Solution

The fourth proportional to 566,219, 849,459.74 and 192,242 is: 288,407.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    566,219 : 849,459.74 = 192,242 : x
  2. Step 2: Convert to fraction form
    566,219/849,459.74 = 192,242/x
  3. Step 3: Cross multiply
    566,219x = 849,459.74 × 192,242
  4. Step 4: Simplify right side
    566,219x = 163,301,839,337.08
  5. Step 5: Solve for x
    x = 163,301,839,337.08/566,219
  6. Step 6: Final answer
    x = 288,407.56

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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.