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Finding the Fourth Proportional to 525,708.60, 788,390.10 and 193,241.40

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Solution

The fourth proportional to 525,708.60, 788,390.10 and 193,241.40 is: 289,798.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,708.60 : 788,390.10 = 193,241.40 : x
  2. Step 2: Convert to fraction form
    525,708.60/788,390.10 = 193,241.40/x
  3. Step 3: Cross multiply
    525,708.60x = 788,390.10 × 193,241.40
  4. Step 4: Simplify right side
    525,708.60x = 152,349,606,670.14
  5. Step 5: Solve for x
    x = 152,349,606,670.14/525,708.60
  6. Step 6: Final answer
    x = 289,798.58

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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.