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Finding the Fourth Proportional to 473,370.40, 710,458.80 and 193,088.80

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Solution

The fourth proportional to 473,370.40, 710,458.80 and 193,088.80 is: 289,797.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    473,370.40 : 710,458.80 = 193,088.80 : x
  2. Step 2: Convert to fraction form
    473,370.40/710,458.80 = 193,088.80/x
  3. Step 3: Cross multiply
    473,370.40x = 710,458.80 × 193,088.80
  4. Step 4: Simplify right side
    473,370.40x = 137,181,637,141.44
  5. Step 5: Solve for x
    x = 137,181,637,141.44/473,370.40
  6. Step 6: Final answer
    x = 289,797.67

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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.