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Finding the Fourth Proportional to 1,407,971.61, 1,943,268.71 and 835,327.53

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Solution

The fourth proportional to 1,407,971.61, 1,943,268.71 and 835,327.53 is: 1,152,910.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,407,971.61 : 1,943,268.71 = 835,327.53 : x
  2. Step 2: Convert to fraction form
    1,407,971.61/1,943,268.71 = 835,327.53/x
  3. Step 3: Cross multiply
    1,407,971.61x = 1,943,268.71 × 835,327.53
  4. Step 4: Simplify right side
    1,407,971.61x = 1,623,265,847,473.95
  5. Step 5: Solve for x
    x = 1,623,265,847,473.95/1,407,971.61
  6. Step 6: Final answer
    x = 1,152,910.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.