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Finding the Fourth Proportional to 1,575,968, 2,363,952 and 394,016

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Solution

The fourth proportional to 1,575,968, 2,363,952 and 394,016 is: 591,024

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,575,968 : 2,363,952 = 394,016 : x
  2. Step 2: Convert to fraction form
    1,575,968/2,363,952 = 394,016/x
  3. Step 3: Cross multiply
    1,575,968x = 2,363,952 × 394,016
  4. Step 4: Simplify right side
    1,575,968x = 931,434,911,232
  5. Step 5: Solve for x
    x = 931,434,911,232/1,575,968
  6. Step 6: Final answer
    x = 591,024

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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.