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Finding the Fourth Proportional to 553,671.84, 830,428.92 and 174,543.36

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Solution

The fourth proportional to 553,671.84, 830,428.92 and 174,543.36 is: 261,790.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,671.84 : 830,428.92 = 174,543.36 : x
  2. Step 2: Convert to fraction form
    553,671.84/830,428.92 = 174,543.36/x
  3. Step 3: Cross multiply
    553,671.84x = 830,428.92 × 174,543.36
  4. Step 4: Simplify right side
    553,671.84x = 144,945,853,937.97
  5. Step 5: Solve for x
    x = 144,945,853,937.97/553,671.84
  6. Step 6: Final answer
    x = 261,790.19

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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.