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Finding the Fourth Proportional to 382,361.90, 573,207.50 and 145,547.06

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Solution

The fourth proportional to 382,361.90, 573,207.50 and 145,547.06 is: 218,192.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,361.90 : 573,207.50 = 145,547.06 : x
  2. Step 2: Convert to fraction form
    382,361.90/573,207.50 = 145,547.06/x
  3. Step 3: Cross multiply
    382,361.90x = 573,207.50 × 145,547.06
  4. Step 4: Simplify right side
    382,361.90x = 83,428,663,892.78
  5. Step 5: Solve for x
    x = 83,428,663,892.78/382,361.90
  6. Step 6: Final answer
    x = 218,192.93

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.