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Finding the Fourth Proportional to 360,265.65, 497,095.95 and 217,033.55

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Solution

The fourth proportional to 360,265.65, 497,095.95 and 217,033.55 is: 299,463.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,265.65 : 497,095.95 = 217,033.55 : x
  2. Step 2: Convert to fraction form
    360,265.65/497,095.95 = 217,033.55/x
  3. Step 3: Cross multiply
    360,265.65x = 497,095.95 × 217,033.55
  4. Step 4: Simplify right side
    360,265.65x = 107,886,498,719.12
  5. Step 5: Solve for x
    x = 107,886,498,719.12/360,265.65
  6. Step 6: Final answer
    x = 299,463.74

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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.