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Finding the Fourth Proportional to 533,185.96, 735,319.74 and 442,397.92

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Solution

The fourth proportional to 533,185.96, 735,319.74 and 442,397.92 is: 610,113.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,185.96 : 735,319.74 = 442,397.92 : x
  2. Step 2: Convert to fraction form
    533,185.96/735,319.74 = 442,397.92/x
  3. Step 3: Cross multiply
    533,185.96x = 735,319.74 × 442,397.92
  4. Step 4: Simplify right side
    533,185.96x = 325,303,923,510.94
  5. Step 5: Solve for x
    x = 325,303,923,510.94/533,185.96
  6. Step 6: Final answer
    x = 610,113.45

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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.