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Finding the Fourth Proportional to 299,969.32, 414,061.91 and 172,695.64

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Solution

The fourth proportional to 299,969.32, 414,061.91 and 172,695.64 is: 238,380.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,969.32 : 414,061.91 = 172,695.64 : x
  2. Step 2: Convert to fraction form
    299,969.32/414,061.91 = 172,695.64/x
  3. Step 3: Cross multiply
    299,969.32x = 414,061.91 × 172,695.64
  4. Step 4: Simplify right side
    299,969.32x = 71,506,686,547.07
  5. Step 5: Solve for x
    x = 71,506,686,547.07/299,969.32
  6. Step 6: Final answer
    x = 238,380.00

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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.