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Finding the Fourth Proportional to 515,904.15, 711,947.72 and 289,549.65

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Solution

The fourth proportional to 515,904.15, 711,947.72 and 289,549.65 is: 399,578.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,904.15 : 711,947.72 = 289,549.65 : x
  2. Step 2: Convert to fraction form
    515,904.15/711,947.72 = 289,549.65/x
  3. Step 3: Cross multiply
    515,904.15x = 711,947.72 × 289,549.65
  4. Step 4: Simplify right side
    515,904.15x = 206,144,211,696.55
  5. Step 5: Solve for x
    x = 206,144,211,696.55/515,904.15
  6. Step 6: Final answer
    x = 399,578.51

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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.