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Finding the Fourth Proportional to 297,510.13, 410,506.23 and 176,689.32

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Solution

The fourth proportional to 297,510.13, 410,506.23 and 176,689.32 is: 243,796.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    297,510.13 : 410,506.23 = 176,689.32 : x
  2. Step 2: Convert to fraction form
    297,510.13/410,506.23 = 176,689.32/x
  3. Step 3: Cross multiply
    297,510.13x = 410,506.23 × 176,689.32
  4. Step 4: Simplify right side
    297,510.13x = 72,532,065,757.65
  5. Step 5: Solve for x
    x = 72,532,065,757.65/297,510.13
  6. Step 6: Final answer
    x = 243,796.96

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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.