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Finding the Fourth Proportional to 462,885.96, 693,649.64 and 260,875.33

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Solution

The fourth proportional to 462,885.96, 693,649.64 and 260,875.33 is: 390,930.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,885.96 : 693,649.64 = 260,875.33 : x
  2. Step 2: Convert to fraction form
    462,885.96/693,649.64 = 260,875.33/x
  3. Step 3: Cross multiply
    462,885.96x = 693,649.64 × 260,875.33
  4. Step 4: Simplify right side
    462,885.96x = 180,956,078,739.38
  5. Step 5: Solve for x
    x = 180,956,078,739.38/462,885.96
  6. Step 6: Final answer
    x = 390,930.15

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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.