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Finding the Fourth Proportional to 536,014.12, 739,709.22 and 294,319.48

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Solution

The fourth proportional to 536,014.12, 739,709.22 and 294,319.48 is: 406,166.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    536,014.12 : 739,709.22 = 294,319.48 : x
  2. Step 2: Convert to fraction form
    536,014.12/739,709.22 = 294,319.48/x
  3. Step 3: Cross multiply
    536,014.12x = 739,709.22 × 294,319.48
  4. Step 4: Simplify right side
    536,014.12x = 217,710,832,981.61
  5. Step 5: Solve for x
    x = 217,710,832,981.61/536,014.12
  6. Step 6: Final answer
    x = 406,166.23

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.