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Finding the Fourth Proportional to 341,023.40, 511,535.10 and 288,535.40

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Solution

The fourth proportional to 341,023.40, 511,535.10 and 288,535.40 is: 432,803.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    341,023.40 : 511,535.10 = 288,535.40 : x
  2. Step 2: Convert to fraction form
    341,023.40/511,535.10 = 288,535.40/x
  3. Step 3: Cross multiply
    341,023.40x = 511,535.10 × 288,535.40
  4. Step 4: Simplify right side
    341,023.40x = 147,595,984,692.54
  5. Step 5: Solve for x
    x = 147,595,984,692.54/341,023.40
  6. Step 6: Final answer
    x = 432,803.10

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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.