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Finding the Fourth Proportional to 489,053.96, 733,686.51 and 152,088.02

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Solution

The fourth proportional to 489,053.96, 733,686.51 and 152,088.02 is: 228,164.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    489,053.96 : 733,686.51 = 152,088.02 : x
  2. Step 2: Convert to fraction form
    489,053.96/733,686.51 = 152,088.02/x
  3. Step 3: Cross multiply
    489,053.96x = 733,686.51 × 152,088.02
  4. Step 4: Simplify right side
    489,053.96x = 111,584,928,606.61
  5. Step 5: Solve for x
    x = 111,584,928,606.61/489,053.96
  6. Step 6: Final answer
    x = 228,164.86

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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.