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Finding the Fourth Proportional to 525,999.42, 725,842.76 and 296,564.90

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Solution

The fourth proportional to 525,999.42, 725,842.76 and 296,564.90 is: 409,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,999.42 : 725,842.76 = 296,564.90 : x
  2. Step 2: Convert to fraction form
    525,999.42/725,842.76 = 296,564.90/x
  3. Step 3: Cross multiply
    525,999.42x = 725,842.76 × 296,564.90
  4. Step 4: Simplify right side
    525,999.42x = 215,259,480,423.09
  5. Step 5: Solve for x
    x = 215,259,480,423.09/525,999.42
  6. Step 6: Final answer
    x = 409,239.01

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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.