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Finding the Fourth Proportional to 651,650.40, 977,648.40 and 230,882.40

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Solution

The fourth proportional to 651,650.40, 977,648.40 and 230,882.40 is: 346,384.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,650.40 : 977,648.40 = 230,882.40 : x
  2. Step 2: Convert to fraction form
    651,650.40/977,648.40 = 230,882.40/x
  3. Step 3: Cross multiply
    651,650.40x = 977,648.40 × 230,882.40
  4. Step 4: Simplify right side
    651,650.40x = 225,721,808,948.16
  5. Step 5: Solve for x
    x = 225,721,808,948.16/651,650.40
  6. Step 6: Final answer
    x = 346,384.82

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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.