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Finding the Fourth Proportional to 484,003.40, 726,782.70 and 365,808.20

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Solution

The fourth proportional to 484,003.40, 726,782.70 and 365,808.20 is: 549,300.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    484,003.40 : 726,782.70 = 365,808.20 : x
  2. Step 2: Convert to fraction form
    484,003.40/726,782.70 = 365,808.20/x
  3. Step 3: Cross multiply
    484,003.40x = 726,782.70 × 365,808.20
  4. Step 4: Simplify right side
    484,003.40x = 265,863,071,278.14
  5. Step 5: Solve for x
    x = 265,863,071,278.14/484,003.40
  6. Step 6: Final answer
    x = 549,300.01

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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.