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Finding the Fourth Proportional to 780,426, 1,076,987.88 and 422,730

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Solution

The fourth proportional to 780,426, 1,076,987.88 and 422,730 is: 583,367.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    780,426 : 1,076,987.88 = 422,730 : x
  2. Step 2: Convert to fraction form
    780,426/1,076,987.88 = 422,730/x
  3. Step 3: Cross multiply
    780,426x = 1,076,987.88 × 422,730
  4. Step 4: Simplify right side
    780,426x = 455,275,086,512.40
  5. Step 5: Solve for x
    x = 455,275,086,512.40/780,426
  6. Step 6: Final answer
    x = 583,367.40

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