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Finding the Fourth Proportional to 525,596.30, 788,446.06 and 141,340.40

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Solution

The fourth proportional to 525,596.30, 788,446.06 and 141,340.40 is: 212,024.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    525,596.30 : 788,446.06 = 141,340.40 : x
  2. Step 2: Convert to fraction form
    525,596.30/788,446.06 = 141,340.40/x
  3. Step 3: Cross multiply
    525,596.30x = 788,446.06 × 141,340.40
  4. Step 4: Simplify right side
    525,596.30x = 111,439,281,498.82
  5. Step 5: Solve for x
    x = 111,439,281,498.82/525,596.30
  6. Step 6: Final answer
    x = 212,024.48

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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.