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Finding the Fourth Proportional to 340,811.40, 511,217.10 and 288,323.40

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Solution

The fourth proportional to 340,811.40, 511,217.10 and 288,323.40 is: 432,485.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,811.40 : 511,217.10 = 288,323.40 : x
  2. Step 2: Convert to fraction form
    340,811.40/511,217.10 = 288,323.40/x
  3. Step 3: Cross multiply
    340,811.40x = 511,217.10 × 288,323.40
  4. Step 4: Simplify right side
    340,811.40x = 147,395,852,410.14
  5. Step 5: Solve for x
    x = 147,395,852,410.14/340,811.40
  6. Step 6: Final answer
    x = 432,485.10

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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.