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Finding the Fourth Proportional to 497,985.66, 687,123 and 283,089.06

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Solution

The fourth proportional to 497,985.66, 687,123 and 283,089.06 is: 390,607.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,985.66 : 687,123 = 283,089.06 : x
  2. Step 2: Convert to fraction form
    497,985.66/687,123 = 283,089.06/x
  3. Step 3: Cross multiply
    497,985.66x = 687,123 × 283,089.06
  4. Step 4: Simplify right side
    497,985.66x = 194,517,004,174.38
  5. Step 5: Solve for x
    x = 194,517,004,174.38/497,985.66
  6. Step 6: Final answer
    x = 390,607.64

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Why These Related Problems?

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