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Finding the Fourth Proportional to 473,718.80, 710,232.60 and 193,091.60

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Solution

The fourth proportional to 473,718.80, 710,232.60 and 193,091.60 is: 289,496.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,718.80 : 710,232.60 = 193,091.60 : x
  2. Step 2: Convert to fraction form
    473,718.80/710,232.60 = 193,091.60/x
  3. Step 3: Cross multiply
    473,718.80x = 710,232.60 × 193,091.60
  4. Step 4: Simplify right side
    473,718.80x = 137,139,949,106.16
  5. Step 5: Solve for x
    x = 137,139,949,106.16/473,718.80
  6. Step 6: Final answer
    x = 289,496.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.