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Finding the Fourth Proportional to 651,243.68, 977,496.11 and 314,521.01

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Solution

The fourth proportional to 651,243.68, 977,496.11 and 314,521.01 is: 472,086.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,243.68 : 977,496.11 = 314,521.01 : x
  2. Step 2: Convert to fraction form
    651,243.68/977,496.11 = 314,521.01/x
  3. Step 3: Cross multiply
    651,243.68x = 977,496.11 × 314,521.01
  4. Step 4: Simplify right side
    651,243.68x = 307,443,062,215.67
  5. Step 5: Solve for x
    x = 307,443,062,215.67/651,243.68
  6. Step 6: Final answer
    x = 472,086.06

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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.