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Finding the Fourth Proportional to 350,547.24, 525,709.50 and 113,835.24

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Solution

The fourth proportional to 350,547.24, 525,709.50 and 113,835.24 is: 170,716.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,547.24 : 525,709.50 = 113,835.24 : x
  2. Step 2: Convert to fraction form
    350,547.24/525,709.50 = 113,835.24/x
  3. Step 3: Cross multiply
    350,547.24x = 525,709.50 × 113,835.24
  4. Step 4: Simplify right side
    350,547.24x = 59,844,267,102.78
  5. Step 5: Solve for x
    x = 59,844,267,102.78/350,547.24
  6. Step 6: Final answer
    x = 170,716.70

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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.