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Finding the Fourth Proportional to 735,952.84, 1,015,643.72 and 413,661.96

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Solution

The fourth proportional to 735,952.84, 1,015,643.72 and 413,661.96 is: 570,869.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    735,952.84 : 1,015,643.72 = 413,661.96 : x
  2. Step 2: Convert to fraction form
    735,952.84/1,015,643.72 = 413,661.96/x
  3. Step 3: Cross multiply
    735,952.84x = 1,015,643.72 × 413,661.96
  4. Step 4: Simplify right side
    735,952.84x = 420,133,171,876.89
  5. Step 5: Solve for x
    x = 420,133,171,876.89/735,952.84
  6. Step 6: Final answer
    x = 570,869.69

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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.