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Finding the Fourth Proportional to 525,985.81, 725,683.13 and 299,470.93

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Solution

The fourth proportional to 525,985.81, 725,683.13 and 299,470.93 is: 413,168.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,985.81 : 725,683.13 = 299,470.93 : x
  2. Step 2: Convert to fraction form
    525,985.81/725,683.13 = 299,470.93/x
  3. Step 3: Cross multiply
    525,985.81x = 725,683.13 × 299,470.93
  4. Step 4: Simplify right side
    525,985.81x = 217,321,000,329.06
  5. Step 5: Solve for x
    x = 217,321,000,329.06/525,985.81
  6. Step 6: Final answer
    x = 413,168.94

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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.