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Finding the Fourth Proportional to 299,665.64, 413,551.16 and 172,341.33

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Solution

The fourth proportional to 299,665.64, 413,551.16 and 172,341.33 is: 237,838.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,665.64 : 413,551.16 = 172,341.33 : x
  2. Step 2: Convert to fraction form
    299,665.64/413,551.16 = 172,341.33/x
  3. Step 3: Cross multiply
    299,665.64x = 413,551.16 × 172,341.33
  4. Step 4: Simplify right side
    299,665.64x = 71,271,956,075.74
  5. Step 5: Solve for x
    x = 71,271,956,075.74/299,665.64
  6. Step 6: Final answer
    x = 237,838.27

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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.