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Finding the Fourth Proportional to 525,626.40, 788,497.20 and 509,037.60

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Solution

The fourth proportional to 525,626.40, 788,497.20 and 509,037.60 is: 763,612.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,626.40 : 788,497.20 = 509,037.60 : x
  2. Step 2: Convert to fraction form
    525,626.40/788,497.20 = 509,037.60/x
  3. Step 3: Cross multiply
    525,626.40x = 788,497.20 × 509,037.60
  4. Step 4: Simplify right side
    525,626.40x = 401,374,722,294.72
  5. Step 5: Solve for x
    x = 401,374,722,294.72/525,626.40
  6. Step 6: Final answer
    x = 763,612.18

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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.