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Finding the Fourth Proportional to 596,577.32, 894,428.56 and 280,862

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Solution

The fourth proportional to 596,577.32, 894,428.56 and 280,862 is: 421,087.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,577.32 : 894,428.56 = 280,862 : x
  2. Step 2: Convert to fraction form
    596,577.32/894,428.56 = 280,862/x
  3. Step 3: Cross multiply
    596,577.32x = 894,428.56 × 280,862
  4. Step 4: Simplify right side
    596,577.32x = 251,210,994,218.72
  5. Step 5: Solve for x
    x = 251,210,994,218.72/596,577.32
  6. Step 6: Final answer
    x = 421,087.07

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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.