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Finding the Fourth Proportional to 713,534.52, 985,194.33 and 459,328.59

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Solution

The fourth proportional to 713,534.52, 985,194.33 and 459,328.59 is: 634,206.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,534.52 : 985,194.33 = 459,328.59 : x
  2. Step 2: Convert to fraction form
    713,534.52/985,194.33 = 459,328.59/x
  3. Step 3: Cross multiply
    713,534.52x = 985,194.33 × 459,328.59
  4. Step 4: Simplify right side
    713,534.52x = 452,527,922,474.90
  5. Step 5: Solve for x
    x = 452,527,922,474.90/713,534.52
  6. Step 6: Final answer
    x = 634,206.07

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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.