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Finding the Fourth Proportional to 553,391.94, 830,117.88 and 174,342.54

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Solution

The fourth proportional to 553,391.94, 830,117.88 and 174,342.54 is: 261,523.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,391.94 : 830,117.88 = 174,342.54 : x
  2. Step 2: Convert to fraction form
    553,391.94/830,117.88 = 174,342.54/x
  3. Step 3: Cross multiply
    553,391.94x = 830,117.88 × 174,342.54
  4. Step 4: Simplify right side
    553,391.94x = 144,724,859,698.62
  5. Step 5: Solve for x
    x = 144,724,859,698.62/553,391.94
  6. Step 6: Final answer
    x = 261,523.25

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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.