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Finding the Fourth Proportional to 525,830.40, 788,803.20 and 509,241.60

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Solution

The fourth proportional to 525,830.40, 788,803.20 and 509,241.60 is: 763,918.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,830.40 : 788,803.20 = 509,241.60 : x
  2. Step 2: Convert to fraction form
    525,830.40/788,803.20 = 509,241.60/x
  3. Step 3: Cross multiply
    525,830.40x = 788,803.20 × 509,241.60
  4. Step 4: Simplify right side
    525,830.40x = 401,691,403,653.12
  5. Step 5: Solve for x
    x = 401,691,403,653.12/525,830.40
  6. Step 6: Final answer
    x = 763,918.18

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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.