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Finding the Fourth Proportional to 1,323,298, 1,984,947 and 575,344

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Solution

The fourth proportional to 1,323,298, 1,984,947 and 575,344 is: 863,016

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,323,298 : 1,984,947 = 575,344 : x
  2. Step 2: Convert to fraction form
    1,323,298/1,984,947 = 575,344/x
  3. Step 3: Cross multiply
    1,323,298x = 1,984,947 × 575,344
  4. Step 4: Simplify right side
    1,323,298x = 1,142,027,346,768
  5. Step 5: Solve for x
    x = 1,142,027,346,768/1,323,298
  6. Step 6: Final answer
    x = 863,016

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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.