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Finding the Fourth Proportional to 409,995.01, 565,549.53 and 319,207.17

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Solution

The fourth proportional to 409,995.01, 565,549.53 and 319,207.17 is: 440,316.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,995.01 : 565,549.53 = 319,207.17 : x
  2. Step 2: Convert to fraction form
    409,995.01/565,549.53 = 319,207.17/x
  3. Step 3: Cross multiply
    409,995.01x = 565,549.53 × 319,207.17
  4. Step 4: Simplify right side
    409,995.01x = 180,527,464,966.13
  5. Step 5: Solve for x
    x = 180,527,464,966.13/409,995.01
  6. Step 6: Final answer
    x = 440,316.25

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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.