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Finding the Fourth Proportional to 525,527.79, 725,228.32 and 283,810.38

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Solution

The fourth proportional to 525,527.79, 725,228.32 and 283,810.38 is: 391,658.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,527.79 : 725,228.32 = 283,810.38 : x
  2. Step 2: Convert to fraction form
    525,527.79/725,228.32 = 283,810.38/x
  3. Step 3: Cross multiply
    525,527.79x = 725,228.32 × 283,810.38
  4. Step 4: Simplify right side
    525,527.79x = 205,827,325,085.96
  5. Step 5: Solve for x
    x = 205,827,325,085.96/525,527.79
  6. Step 6: Final answer
    x = 391,658.31

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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.