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Finding the Fourth Proportional to 1,456,548, 2,184,822 and 459,276

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Solution

The fourth proportional to 1,456,548, 2,184,822 and 459,276 is: 688,914

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,456,548 : 2,184,822 = 459,276 : x
  2. Step 2: Convert to fraction form
    1,456,548/2,184,822 = 459,276/x
  3. Step 3: Cross multiply
    1,456,548x = 2,184,822 × 459,276
  4. Step 4: Simplify right side
    1,456,548x = 1,003,436,308,872
  5. Step 5: Solve for x
    x = 1,003,436,308,872/1,456,548
  6. Step 6: Final answer
    x = 688,914

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