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Finding the Fourth Proportional to 298,547.73, 411,977.21 and 164,411.73

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Solution

The fourth proportional to 298,547.73, 411,977.21 and 164,411.73 is: 226,877.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    298,547.73 : 411,977.21 = 164,411.73 : x
  2. Step 2: Convert to fraction form
    298,547.73/411,977.21 = 164,411.73/x
  3. Step 3: Cross multiply
    298,547.73x = 411,977.21 × 164,411.73
  4. Step 4: Simplify right side
    298,547.73x = 67,733,884,994.61
  5. Step 5: Solve for x
    x = 67,733,884,994.61/298,547.73
  6. Step 6: Final answer
    x = 226,877.91

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.