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Finding the Fourth Proportional to 519,125.40, 778,947.30 and 294,658.20

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Solution

The fourth proportional to 519,125.40, 778,947.30 and 294,658.20 is: 442,134.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    519,125.40 : 778,947.30 = 294,658.20 : x
  2. Step 2: Convert to fraction form
    519,125.40/778,947.30 = 294,658.20/x
  3. Step 3: Cross multiply
    519,125.40x = 778,947.30 × 294,658.20
  4. Step 4: Simplify right side
    519,125.40x = 229,523,209,312.86
  5. Step 5: Solve for x
    x = 229,523,209,312.86/519,125.40
  6. Step 6: Final answer
    x = 442,134.42

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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.