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Finding the Fourth Proportional to 525,698.40, 788,317.20 and 210,050.40

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Solution

The fourth proportional to 525,698.40, 788,317.20 and 210,050.40 is: 314,983.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,698.40 : 788,317.20 = 210,050.40 : x
  2. Step 2: Convert to fraction form
    525,698.40/788,317.20 = 210,050.40/x
  3. Step 3: Cross multiply
    525,698.40x = 788,317.20 × 210,050.40
  4. Step 4: Simplify right side
    525,698.40x = 165,586,343,186.88
  5. Step 5: Solve for x
    x = 165,586,343,186.88/525,698.40
  6. Step 6: Final answer
    x = 314,983.54

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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.