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Finding the Fourth Proportional to 283,254.96, 424,565.30 and 216,966.98

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Solution

The fourth proportional to 283,254.96, 424,565.30 and 216,966.98 is: 325,207.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    283,254.96 : 424,565.30 = 216,966.98 : x
  2. Step 2: Convert to fraction form
    283,254.96/424,565.30 = 216,966.98/x
  3. Step 3: Cross multiply
    283,254.96x = 424,565.30 × 216,966.98
  4. Step 4: Simplify right side
    283,254.96x = 92,116,650,953.79
  5. Step 5: Solve for x
    x = 92,116,650,953.79/283,254.96
  6. Step 6: Final answer
    x = 325,207.55

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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.