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Finding the Fourth Proportional to 650,492.40, 978,071.40 and 547,849.20

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Solution

The fourth proportional to 650,492.40, 978,071.40 and 547,849.20 is: 823,738.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    650,492.40 : 978,071.40 = 547,849.20 : x
  2. Step 2: Convert to fraction form
    650,492.40/978,071.40 = 547,849.20/x
  3. Step 3: Cross multiply
    650,492.40x = 978,071.40 × 547,849.20
  4. Step 4: Simplify right side
    650,492.40x = 535,835,634,032.88
  5. Step 5: Solve for x
    x = 535,835,634,032.88/650,492.40
  6. Step 6: Final answer
    x = 823,738.50

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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.