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Finding the Fourth Proportional to 525,165.70, 788,137.35 and 209,848.90

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Solution

The fourth proportional to 525,165.70, 788,137.35 and 209,848.90 is: 314,928.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,165.70 : 788,137.35 = 209,848.90 : x
  2. Step 2: Convert to fraction form
    525,165.70/788,137.35 = 209,848.90/x
  3. Step 3: Cross multiply
    525,165.70x = 788,137.35 × 209,848.90
  4. Step 4: Simplify right side
    525,165.70x = 165,389,755,946.42
  5. Step 5: Solve for x
    x = 165,389,755,946.42/525,165.70
  6. Step 6: Final answer
    x = 314,928.71

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1.5x scale

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.