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Finding the Fourth Proportional to 261,580, 392,373.64 and 74,591.50

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Solution

The fourth proportional to 261,580, 392,373.64 and 74,591.50 is: 111,888.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,580 : 392,373.64 = 74,591.50 : x
  2. Step 2: Convert to fraction form
    261,580/392,373.64 = 74,591.50/x
  3. Step 3: Cross multiply
    261,580x = 392,373.64 × 74,591.50
  4. Step 4: Simplify right side
    261,580x = 29,267,738,368.06
  5. Step 5: Solve for x
    x = 29,267,738,368.06/261,580
  6. Step 6: Final answer
    x = 111,888.29

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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.