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Finding the Fourth Proportional to 686,430.24, 947,274.08 and 418,158.24

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Solution

The fourth proportional to 686,430.24, 947,274.08 and 418,158.24 is: 577,058.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,430.24 : 947,274.08 = 418,158.24 : x
  2. Step 2: Convert to fraction form
    686,430.24/947,274.08 = 418,158.24/x
  3. Step 3: Cross multiply
    686,430.24x = 947,274.08 × 418,158.24
  4. Step 4: Simplify right side
    686,430.24x = 396,110,462,090.42
  5. Step 5: Solve for x
    x = 396,110,462,090.42/686,430.24
  6. Step 6: Final answer
    x = 577,058.58

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.