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Finding the Fourth Proportional to 610,805.16, 916,266.06 and 189,968.04

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Solution

The fourth proportional to 610,805.16, 916,266.06 and 189,968.04 is: 284,970.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,805.16 : 916,266.06 = 189,968.04 : x
  2. Step 2: Convert to fraction form
    610,805.16/916,266.06 = 189,968.04/x
  3. Step 3: Cross multiply
    610,805.16x = 916,266.06 × 189,968.04
  4. Step 4: Simplify right side
    610,805.16x = 174,061,267,536.72
  5. Step 5: Solve for x
    x = 174,061,267,536.72/610,805.16
  6. Step 6: Final answer
    x = 284,970.20

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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.