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Finding the Fourth Proportional to 525,624.40, 788,494.20 and 509,035.60

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Solution

The fourth proportional to 525,624.40, 788,494.20 and 509,035.60 is: 763,609.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,624.40 : 788,494.20 = 509,035.60 : x
  2. Step 2: Convert to fraction form
    525,624.40/788,494.20 = 509,035.60/x
  3. Step 3: Cross multiply
    525,624.40x = 788,494.20 × 509,035.60
  4. Step 4: Simplify right side
    525,624.40x = 401,371,618,193.52
  5. Step 5: Solve for x
    x = 401,371,618,193.52/525,624.40
  6. Step 6: Final answer
    x = 763,609.18

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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.