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Finding the Fourth Proportional to 702,246, 1,052,926.13 and 386,924.34

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Solution

The fourth proportional to 702,246, 1,052,926.13 and 386,924.34 is: 580,142.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    702,246 : 1,052,926.13 = 386,924.34 : x
  2. Step 2: Convert to fraction form
    702,246/1,052,926.13 = 386,924.34/x
  3. Step 3: Cross multiply
    702,246x = 1,052,926.13 × 386,924.34
  4. Step 4: Simplify right side
    702,246x = 407,402,745,984.38
  5. Step 5: Solve for x
    x = 407,402,745,984.38/702,246
  6. Step 6: Final answer
    x = 580,142.49

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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.