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Finding the Fourth Proportional to 610,810.68, 916,274.32 and 189,973.56

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Solution

The fourth proportional to 610,810.68, 916,274.32 and 189,973.56 is: 284,978.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,810.68 : 916,274.32 = 189,973.56 : x
  2. Step 2: Convert to fraction form
    610,810.68/916,274.32 = 189,973.56/x
  3. Step 3: Cross multiply
    610,810.68x = 916,274.32 × 189,973.56
  4. Step 4: Simplify right side
    610,810.68x = 174,067,894,506.98
  5. Step 5: Solve for x
    x = 174,067,894,506.98/610,810.68
  6. Step 6: Final answer
    x = 284,978.47

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1.5x scale

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.