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Finding the Fourth Proportional to 705,542.37, 971,868.13 and 569,194.53

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Solution

The fourth proportional to 705,542.37, 971,868.13 and 569,194.53 is: 784,052.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,542.37 : 971,868.13 = 569,194.53 : x
  2. Step 2: Convert to fraction form
    705,542.37/971,868.13 = 569,194.53/x
  3. Step 3: Cross multiply
    705,542.37x = 971,868.13 × 569,194.53
  4. Step 4: Simplify right side
    705,542.37x = 553,182,018,409.84
  5. Step 5: Solve for x
    x = 553,182,018,409.84/705,542.37
  6. Step 6: Final answer
    x = 784,052.16

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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.