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Finding the Fourth Proportional to 369,463.65, 509,865.50 and 216,465.23

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Solution

The fourth proportional to 369,463.65, 509,865.50 and 216,465.23 is: 298,725.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,463.65 : 509,865.50 = 216,465.23 : x
  2. Step 2: Convert to fraction form
    369,463.65/509,865.50 = 216,465.23/x
  3. Step 3: Cross multiply
    369,463.65x = 509,865.50 × 216,465.23
  4. Step 4: Simplify right side
    369,463.65x = 110,368,151,644.24
  5. Step 5: Solve for x
    x = 110,368,151,644.24/369,463.65
  6. Step 6: Final answer
    x = 298,725.33

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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.