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Finding the Fourth Proportional to 705,539.16, 973,798.02 and 433,840.80

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Solution

The fourth proportional to 705,539.16, 973,798.02 and 433,840.80 is: 598,794.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,539.16 : 973,798.02 = 433,840.80 : x
  2. Step 2: Convert to fraction form
    705,539.16/973,798.02 = 433,840.80/x
  3. Step 3: Cross multiply
    705,539.16x = 973,798.02 × 433,840.80
  4. Step 4: Simplify right side
    705,539.16x = 422,473,312,035.22
  5. Step 5: Solve for x
    x = 422,473,312,035.22/705,539.16
  6. Step 6: Final answer
    x = 598,794.99

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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.