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Finding the Fourth Proportional to 313,508.16, 432,641.16 and 170,268.24

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Solution

The fourth proportional to 313,508.16, 432,641.16 and 170,268.24 is: 234,970.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,508.16 : 432,641.16 = 170,268.24 : x
  2. Step 2: Convert to fraction form
    313,508.16/432,641.16 = 170,268.24/x
  3. Step 3: Cross multiply
    313,508.16x = 432,641.16 × 170,268.24
  4. Step 4: Simplify right side
    313,508.16x = 73,665,048,864.76
  5. Step 5: Solve for x
    x = 73,665,048,864.76/313,508.16
  6. Step 6: Final answer
    x = 234,970.12

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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.